Research graph
References from The geometry of Minkowski spaces — A survey. Part I. Local targets link to admitted publications; unresolved targets remain external evidence.
π is the minimum value for Pi
2000 · External reference
Unresolved reference
1948 · External reference
Some characteristic and noncharacteristic properties of inner product spaces
10.1016/0021-9045(88)90098-6 · 1988 · External reference
Orthogonality in normed linear spaces: a survey. II. Relations between main orthogonalities
1989 · External reference
Moduli in normed linear spaces and characterization of inner product spaces
10.1007/bf01236044 · 1992 · External reference
Dreiecksungleichung und Eichkörper in verallgemeinerten Minkowskischen Räumen
1937 · External reference
The area of the unit sphere in three-dimensional normed spaces
2000 · External reference
Some problems in Finsler geometry
2000 · External reference
Unresolved reference
1998 · External reference
Unresolved reference
1986 · External reference
Criteria for unique metric lines in Banach spaces
1973 · External reference
Unresolved reference
1987 · External reference
On the area of convex curves with conjugate diameters (Polish)
1930 · External reference
Über eine Eigenschaft der Eilinien mit Mittelpunkt
1930 · External reference
Asymptotic volume of tori and the geometry of convex bodies (Russian)
1988 · External reference
Asymptotic volume of tori and the geometry of convex bodies (Russian)
1988 · External reference
Volumes of sections of cubes and related problems
1989 · External reference
Unresolved reference
1978 · External reference
Some contribution to the geometry of normed linear spaces
10.1002/mana.19881390116 · 1988 · External reference
Embedding into rectilinear spaces
10.1007/pl00009370 · 1998 · External reference
Equilateral sets and their central points
1993 · External reference
Intersection of spheres and isometries
1987 · External reference
Introduction to Banach spaces and their geometry
1985 · External reference
Unresolved reference
1966 · External reference
Isometrien in normierten Räumen
10.1007/bf02189828 · 1985 · External reference
A contribution to a theorem of Ulam and Mazur
10.1007/bf01840123 · 1987 · External reference
Orthogonality in linear metric spaces
10.1215/s0012-7094-35-00115-6 · 1935 · External reference
Räumliche Variationsprobleme mit symmetrischer Transversalitätsbedingung
1916 · External reference
Zur Affingeometrie der Eilinien und Eiflächen
10.1002/mana.19560150406 · 1956 · External reference
Unresolved reference
1970 · External reference
Unresolved reference
1970 · External reference
Unresolved reference
1969 · External reference
Erdős distance problems in normed spaces
10.1016/0925-7721(95)00019-4 · 1996 · External reference
On equilateral simplices in normed spaces
1999 · External reference
Algebraic versus metric concepts in a normed linear space
1967 · External reference
Metric Methods in Finsler Spaces and in the Foundations of Geometry
1942 · External reference
The isoperimetric problem in the Minkowski plane
10.2307/2371807 · 1947 · External reference
The isoperimetric problem for Minkowski area
10.2307/2372362 · 1949 · External reference
The foundations of Minkowskian geometry
10.1007/bf02567031 · 1950 · External reference
Unresolved reference
1955 · External reference
Überkonvexe Mengen in der Ebene
1938 · External reference
A property of planar convex bodies
10.1007/bf02759728 · 1963 · External reference
On inscribing and circumscribing hexagons
10.4064/cm-17-1-99-101 · 1967 · External reference
Sets of constant width
10.2140/pjm.1966.19.13 · 1966 · External reference
On a certain affine invariant functional for convex bodies
1973 · External reference
Mixed areas and the self-circumference of a plane convex body
10.1007/bf01224933 · 1980 · External reference
Some properties of the self-circumference of convex sets
10.1007/bf01899599 · 1969 · External reference
On the self-length of two-dimensional Banach spaces
10.1017/s0004972700016762 · 1996 · External reference
Unit-distance graphs in Minkowski metric spaces
10.1007/bf00181411 · 1991 · External reference
Unresolved reference
1998 · External reference
Rotundity
1963 · External reference
Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V. L. Klee
10.1007/bf01193107 · 1962 · External reference
Polygons circumscribed about closed convex curves
10.1090/s0002-9947-1947-0022686-9 · 1947 · External reference
Some characterizations of inner-product spaces
10.1090/s0002-9947-1947-0022312-9 · 1947 · External reference
Normed linear spaces
1973 · External reference
On the radial projection in normed spaces
10.1090/s0002-9904-1967-11753-1 · 1967 · External reference
Sur les constantes de Thele et de Schäffer
1992 · External reference
Geometry of Banach spaces—selected topics
1975 · External reference
A note on strict convexity and straight lines in normed spaces
1977 · External reference
Remarks on strict convexity and betweenness postulates
1981 · External reference
On relatively short and long sides of convex pentagons
10.1007/bf01267645 · 1995 · External reference
On minimum circumscribed polygons
10.1090/s0002-9904-1944-08096-8 · 1944 · External reference
Self-packing of centrally symmetric convex bodies in R2
10.1007/bf02293042 · 1992 · External reference
Unresolved reference
1995 · External reference
The πs go full circle
10.1080/0025570x.1999.11996701 · 1999 · External reference
Über Kurven und Flächen in allgemeinen Räumen
1918 · External reference
On the radial projection in Banach spaces
1980 · External reference
Perimeter, Macphail number and projection constant in Minkowski planes
1976 · External reference
Über den Begriff “extremale Krümmung” und eine kennzeichnende Eigenschaft der Ellipse
10.1007/bf01292598 · 1919 · External reference
Singularities of minimal surfaces and networks and related extremal problems in Minkowski space
1991 · External reference
An application of elementary geometry in functional analysis
10.1080/07468342.1997.11973826 · 1997 · External reference
Self-circumference of rotors
10.1023/a:1006501723092 · 1998 · External reference
Polygonal circles
1995 · External reference
Bisectors on the Minkowski plane with norm (xp + yp)1/p (Russian)
1970 · External reference
Bisectors on the Minkowski plane with norm (xp + yp)1/p (Russian)
1970 · External reference
Some metric problems in the geometry of Minkowski (Polish. French summary)
1932 · External reference
Sur la longueur de l'indicatrice dans la géométrie plane de Minkowski
10.4064/cm-15-1-141-144 · 1966 · External reference
Minkowskische Geometrie I u. II
10.1007/bf01700713 · 1931 · External reference
Connectivity and freely rolling convex bodies
10.1112/s002557930001233x · 1982 · External reference
Homothetic ellipsoids
1983 · External reference
Intersections of convex bodies with their translates
1981 · External reference
Eine kennzeichnende Eigenschaft der Kugel
1961 · External reference
Kontrahierende Radialprojektionen in normierten Räumen
1975 · External reference
Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen
10.1007/bf00148753 · 1975 · External reference
Planar Chebyshev sets
1984 · External reference
Unresolved reference
1993 · External reference
Borsuk's partition conjecture in Minkowski planes
1957 · External reference
On a conjecture of H. Hadwiger
10.2140/pjm.1961.11.215 · 1961 · External reference
Measures of symmetry for convex sets
1963 · External reference
Strictly antipodal sets
10.1007/bf02759795 · 1963 · External reference
Self-circumference of convex sets
1964 · External reference
The perimeter of Minkowski unit discs
10.4064/cm-15-1-135-139 · 1966 · External reference
Metrically homogeneous sets
10.1007/bf02760183 · 1968 · External reference
Strictly convex normed linear spaces
1976 · External reference
An olla-podrida of open problems, often oddly posed
10.1080/00029890.1983.11971188 · 1983 · External reference
Unit balls with a nonexpansive map
1995 · External reference
Über eine Kennzeichnung der Kugel
1940 · External reference
Abschätzungen für einige Affininvarianten konvexer Kurven
10.1007/bf01295132 · 1967 · External reference
Konjugierte Durchmesser und extremale Vierecke konvexer Bereiche
1969 · External reference
On characterisation of curves of constant width (Hungarian. Russian and English summaries)
1959 · External reference
A characterization of circles and other closed curves
10.1080/00029890.1974.11993522 · 1974 · External reference
Mathematical problems
10.1090/s0273-0979-00-00881-8 · 2000 · External reference
n-dimensional area and content in Minkowski spaces
10.2140/pjm.1979.85.77 · 1979 · External reference
Rotundity, orthogonality, and characterizations of inner product spaces
10.1090/s0002-9904-1975-13927-9 · 1975 · External reference
Another characterization of circles
10.2307/2312547 · 1962 · External reference
Sui diametri coniugati delle ovali a centro
1947 · External reference
Solution to problem 10228 (characterizing the ball)
1994 · External reference
Inner product in normed linear spaces
10.1090/s0002-9904-1947-08831-5 · 1947 · External reference
Orthogonality and linear functionals in normed linear spaces
10.1090/s0002-9947-1947-0021241-4 · 1947 · External reference
The construction and application of contractive retractions in 2-dimensional normed linear spaces
10.1512/iumj.1973.22.22041 · 1972 · External reference
On the equilateral feeble four-point property
1975 · External reference
A property of Minkowskian circles
10.2307/2307838 · 1950 · External reference
Some results on Auerbach bases for finite dimensional normed spaces
1973 · External reference
Equally spaced points for families of compact convex sets in Minkowski spaces
1973 · External reference
The application of Brouwer's fixed point theorem to the geometry of convex bodies (Romanian)
1975 · External reference
Kennzeichnungen der affinen Bilder von Körpern konstanter Breite
1974 · External reference
Kennzeichnungen der affinen Bilder von Körpern konstanter Breite
10.1007/bf01922489 · 1980 · External reference
Approximation of plane convex bodies by centrally symmetric bodies
10.1112/jlms/s2-40.2.369 · 1989 · External reference
Konvexe Mittelpunktsbereiche und normierte Räume
10.1007/bf01181345 · 1954 · External reference
Die Geometrien van H. Minkowski
1958 · External reference
On characterizations of inner product spaces
1975 · External reference
Regular hexagons in normed spaces and a theorem of Walter Benz
10.1007/bf01855875 · 1993 · External reference
Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
10.2140/pjm.1994.166.55 · 1994 · External reference
Selbstadjungierte Banach-Räume
10.1007/bf01181408 · 1959 · External reference
Über eine analytische Darstellung des Randes konvexer Körper
10.1007/bf01220035 · 1965 · External reference
Unresolved reference
1980 · External reference
Eine Kennzeichnung des Ellipsoids
10.1007/bf01899994 · 1957 · External reference
Die Eilinien mit einer Schar konjugierter Durchmesserpaare
10.1007/bf02287073 · 1958 · External reference
The local theory of normed spaces and its applications to convexity
1993 · External reference
Classical Banach spaces. I. sequence spaces
1977 · External reference
Closest packings and closest coverings by translates of a convex disc
1978 · External reference
An extremal property of the hypersphere
1951 · External reference
The degree of a mapping in some problems of combinatorial geometry
1987 · External reference
Inscribed simplices of a convex body
1992 · External reference
Refined equilateral problem in Minkowski space
1999 · External reference
Convex polytopes whose projection bodies and difference sets are polars
10.1007/bf02574676 · 1991 · External reference
Eine Überkonvexität
10.1007/bf01201371 · 1935 · External reference
Sur le transformations isométriques d'espaces vectoriels, normés
1932 · External reference
Dependence of volume and diameter of sets in an n-dimensional Banach space (Russian)
1963 · External reference
Untersuchungen über allgemeine Metrik
10.1007/bf01448840 · 1928 · External reference
Unresolved reference
1986 · External reference
Sur les propriétés des nombres entiers qui sont dérivées de l'intuition de l'espace
1896 · External reference
Unresolved reference
1910 · External reference
Unresolved reference
1989 · External reference
On inscribed and circumscribed polygons of convex regions (Hungarian)
1955 · External reference
Unresolved reference
1973 · External reference
Minimal surfaces, crystals, shortest networks, and undergraduate research
10.1007/bf03025868 · 1992 · External reference
Linearity in the Minkowski space with non-strictly convex spheres
10.4064/cm-20-1-113-115 · 1969 · External reference
The modulus of convexity in normed linear spaces
10.1007/bf02591317 · 1960 · External reference
The intersection of convex sets
1955 · External reference
Extremalprobleme für konvexe Bereiche der euklidischen Ebene
10.1007/bf01181132 · 1952 · External reference
Unresolved reference
1995 · External reference
On parallelepipeds of minimal volume containing a convex symmetric body in Rn
1991 · External reference
On the geometry of the Minkowski plane
1955 · External reference
Equilateral sets in Minkowski spaces
1971 · External reference
Characterizations of spherical neighbourhoods
10.4153/cjm-1970-051-9 · 1970 · External reference
Convex sets and nearest points
1957 · External reference
h-konvexe Kurven in der hyperbolischen Ebene
10.1007/bf01456091 · 1984 · External reference
Unresolved reference
1989 · External reference
On the volume method in the study of Auerbach bases of finite-dimensional normed spaces
10.4064/cm-69-2-267-270 · 1995 · External reference
Proprietà metriche e affini di notevoli classi di ovali
1963 · External reference
Über eine besondere Art ebener Kurven
1916 · External reference
Unresolved reference
1987 · External reference
A certain extremal problem of a finite-dimensional normed space
1975 · External reference
A certain extremal problem of a finite-dimensional normed space
1975 · External reference
Straight lines in metric spaces
1973 · External reference
Eine Abschätzung für den Flächeninhalt von Eichbereichen Banach-Minkowskischer Ebenen
1987 · External reference
An extremal problem from the theory of convex curves (Russian)
1953 · External reference
Über die Hypothesen, welche der Geometrie zu Grunde liegen
1868 · External reference
Die innere Geometrie der metrischen Räume
1961 · External reference
The difference body of a convex body
10.1007/bf01899997 · 1957 · External reference
The differential geometry of Finsler spaces
1959 · External reference
Auerbach's theorem and tensor products of Banach spaces
1962 · External reference
Über eine Extremumeigenschaft der Ellipsen
1939 · External reference
Another characterization of Hilbert spaces
10.4064/sm-25-3-271-276 · 1965 · External reference
Inner diameter, perimeter, and girth of spheres
10.1007/bf01351519 · 1967 · External reference
Unresolved reference
1967 · External reference
Unresolved reference
1967 · External reference
Symmetric curves, hexagons, and the girth of spheres in dimension 3.
10.1007/bf02760252 · 1968 · External reference
The self-circumferences of polar convex disks
10.1007/bf01228179 · 1973 · External reference
Geometry of Spheres in Normed Spaces
1976 · External reference
Unresolved reference
1993 · External reference
Orthogonality and proportional norms
1996 · External reference
Characterizations of strict convexity
1981 · External reference
On the effective determination of conformal mapping, Construction and Applications of Conformal Maps
1952 · External reference
On the set of the best approximations of an element in a normed linear space
1960 · External reference
Analogues of regular simplexes in normed spaces (Russian)
1975 · External reference
Taxicab geometry—a new slant
1989 · External reference
Zur expliziten Bestimmung der Norm der selbstadjungierten Minkowski-Räume
10.1007/bf03322928 · 1978 · External reference
Über Eibereiche mit Mittelpunkt
1950 · External reference
Ueber Parallelogramme und Rechtecke, die sich ebenen Eibereichen einbeschreiben lassen
1955 · External reference
Cardinalities of k-distance sets in Minkowski spaces
10.1016/s0012-365x(98)00276-3 · 1999 · External reference
Über ein Problem von H. Busemann
10.5486/pmd.1960.7.1-4.37 · 1960 · External reference
Ein Problem der zweidimensionalen Minkowskischen Geometrie
10.4064/ap-9-1-39-48 · 1960 · External reference
Bemerkung zu meiner Arbeit: “Ein Problem der zweidimensionalen Minkowskischen Geometrie”
1960 · External reference
A geometric theorem and its application to biorthogonal systems
10.1090/s0002-9904-1947-08855-8 · 1947 · External reference
Some results on the radial projection in Banach spaces
1974 · External reference
An equiperimetric property of Minkowski circles
10.1112/blms/7.3.271 · 1975 · External reference
Unresolved reference
1996 · External reference
Unresolved reference
1989 · External reference
Metric betweenness in normed linear spaces
10.4064/cm-23-1-99-102 · 1971 · External reference
Strictly convex spaces via semi-inner-product space orthogonality
1970 · External reference
A characteristic property of the circle in the Minkowski plane
10.2307/2306929 · 1951 · External reference
Some implications of Euclid's Proposition 7
1983 · External reference
The concepts of triangle orthocenters in Minkowski planes
1999 · External reference
Simplices with edges of equal length in finite-dimensional Banach spaces
10.1007/bf01222695 · 1996 · External reference
Flächeninhalte gleichseitiger Dreiecke in einer Banach-Minkowskischen Ebene
1991 · External reference
Triangles and Reuleaux triangles in Banach-Minkowski planes
1994 · External reference
On closed curves in Minkowski spaces
1972 · External reference
A certain extremal property of the number π (Russian)
1971 · External reference
Plane Minkowski geometry—problems and results
1976 · External reference
Über konvexe Gebilde, II. Teil
10.1007/bf01702711 · 1921 · External reference
