Herbert Busemann
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Herbert Busemannmathematics Degrees
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Mathematics
Herbert Busemann's Degrees
- PhD Mathematics University of Göttingen
Why Is Herbert Busemann Influential?
(Suggest an Edit or Addition)According to Wikipedia, Herbert Busemann was a German-American mathematician specializing in convex and differential geometry. He is the author of Busemann's theorem in Euclidean geometry and geometric tomography. He was a member of the Royal Danish Academy and a winner of the Lobachevsky Medal , the first American mathematician to receive it. He was also a Fulbright scholar in New Zealand in 1952.
Herbert Busemann's Published Works
Published Works
- The geometry of geodesics (1955) (854)
- Advances in mathematics (1961) (839)
- Projective Geometry And Projective Metrics (1953) (218)
- Problems on convex bodies (1956) (151)
- Spaces with non-positive curvature (1948) (130)
- A Theorem on Convex Bodies of the Brunn-Minkowski Type. (1949) (116)
- Volume in terms of concurrent cross-sections. (1953) (106)
- Intrinsic Area. (1946) (105)
- The foundations of Minkowskian geometry (1950) (103)
- The Isoperimetric Problem for Minkowski Area (1949) (83)
- The geometry of Finsler spaces (1950) (75)
- Krümmungseigenschaften Konvexer Flächen (1936) (69)
- Recent Synthetic Differential Geometry (1970) (68)
- On the foundations of calculus of variations (1941) (60)
- Metric Methods of Finsler Spaces and in the Foundations of Geometry. (Am-8) (1943) (56)
- Area and normality. (1960) (52)
- Spaces With Distinguished Geodesics (1987) (49)
- Convex bodies and convexity on Grassmann cones (1962) (48)
- Local metric geometry (1944) (45)
- The Isoperimetric Problem in the Minkowski Plane (1947) (42)
- Geometries in which the planes minimize area (1961) (38)
- Angular Measure and Integral Curvature (1949) (28)
- On spaces in which two points determine a geodesic (1943) (26)
- On Leibniz's Definition of Planes (1941) (22)
- Planes with analogues to Euclidean angular bisectors. (1975) (21)
- Convex bodies and convexity on Grassmann cones (1962) (19)
- Review: A. D. Alexandrow, Die innere Geometrie der konvexen Flächen (1956) (19)
- On normal coordinates in Finsler spaces (1955) (18)
- Two theorems on general symmetric spaces (1981) (17)
- Volumes and Areas of Cross-Section (1960) (14)
- Irreducible sums of simple multivectors. (1973) (14)
- Areas in affine spaces III the integral geometry of affine area (1960) (14)
- Axioms for indefinite metrics (1966) (13)
- Novel Results in the Geometry of Geodesics (1993) (13)
- Minkowskian geometry, convexity conditions and the parallel axiom (1979) (13)
- On geodesic curvature in two-dimensional finsler spaces (1950) (12)
- A GENERAL VERSION OF BELTRAMI'S THEOREM IN THE LARGE (1984) (11)
- Metric collineations and inverse problems (1965) (11)
- Minkowski's and related problems for convex surfaces with boundaries. (1959) (10)
- Tori with one-parameter groups of motions (1955) (10)
- Spaces with homothetic spheres (1974) (10)
- Über die Geometrien, in denen die „Kreise mit unendlichem Radius” die kürzesten Linien sind (1932) (9)
- Areas in affine space I, II (1960) (8)
- Review: A. V. Pogorelov, Hilbert's fourth problem (1981) (7)
- METRIZATIONS OF PROJECTIVE SPACES (1957) (6)
- Axioms for Geodesics and Their Implications (1959) (6)
- Remark on "Planes with analogues to Eucledian angular bisectors". (1976) (6)
- Non-Euclidean Geometry (1950) (4)
- Symmetric Spaces and Ellipses (1981) (4)
- Similarities and differentiability (1957) (4)
- Quasihyperbolic geometry (1955) (4)
- Paschsches Axiom und Zweidimensionalität (1933) (4)
- Regularity properties of a certain class of surfaces (1945) (3)
- Length-preserving maps (1964) (3)
- Two-Dimensional Metric Spaces with Prescribed Geodesics (1939) (2)
- Groups of motions transitive on sets of geodesics (1956) (2)
- Convex Bodies and Convexity on Grassmann Cones XI. Sublinear Functions. (1969) (2)
- Review: H. G. Eggleston, Problems in Euclidean Space: Application of convexity (1958) (2)
- Motions with maximal displacements (1954) (2)
- Two-dimensional geometries with elementary areas (1947) (2)
- Lokale Eigenschaften der zu Variationsproblemen gehörigen metrischen Räume (1939) (1)
- Metric Conditions for Symmetric Finsler Spaces. (1941) (1)
- Convex bodies and convexity on grassmann cones (X): Projection functions of parallel convex bodies (1965) (1)
- Review: H. G. Eggleston, Convexity (1958) (1)
- Book Review: Hermann Weyl and Joachim Weyl, Meromorphic functions and analytic curves (1944) (1)
- Locally Desarguesian spaces (1980) (1)
- Corrections to "Volumes and Areas of Cross-Sections" (1960) (1)
- Observations on Method and Content (1970) (0)
- De Donder on Calculus of Variations (1937) (0)
- Completeness, Finite Dimensionality, Differentiability (1970) (0)
- Chapter III. Properties of General S. L. Spaces (1943) (0)
- Chapter I. Metric Spaces with Geodesics (1943) (0)
- Metrically Homogeneous Spaces (1946) (0)
- Chapter V. Motions (1943) (0)
- Chapter II. Metric Conditions for Finsler Spaces (1943) (0)
- On Translations in General Plane Geometries (1938) (0)
- Book Review: Meromorphic functions and analytic curves (1944) (0)
- Chapter IV. Spaces with Convex Spheres (1943) (0)
- Book Reviews: Einfuhrung in die Geometrie der Waben. vol. IV, Elemente der Mathematik vom Hoheren Standpunkt aus (1956) (0)
- Book Review: Über Kurven und Flächen in Allgemeinen Räumen (1952) (0)
- Einführung in die Geometrie der Waben . vol. IV, Elemente der Mathematik vom Höheren Standpunkt aus . Wilhelm Blaschke. Birkhäuser, Basel-Stuttgart, 1955. 108 pp. Illus. DM. 15.25. (1956) (0)
- THE THEORY OF PARALLELS WITH APPLICATIONS TO CLOSED GEODESICS (1962) (0)
- Book Review: A course of geometry (1954) (0)
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