• In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds...
    90 KB (12,927 words) - 07:18, 30 May 2025
  • that each Busemann function is in fact (weakly) a harmonic function. Weyl's lemma implies the infinite differentiability of the Busemann functions. Then,...
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  • Thumbnail for Herbert Busemann
    differential geometry, Springer 1970. Blaschke–Busemann measure Busemann function Busemann–Petty problem Busemann G-space Geodesic bicombing LA Times, 1985...
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  • the author of Busemann's theorem Busemann biplane Busemann's theorem Busemann function This page lists people with the surname Busemann. If an internal...
    534 bytes (90 words) - 09:38, 26 May 2020
  • also projective space and compactification. Busemann function given a ray, γ : [0, ∞)→X, the Busemann function is defined by B γ ( p ) = lim t → ∞ ( | γ...
    28 KB (3,756 words) - 23:58, 19 June 2025
  • {\displaystyle X} is proper then its boundary is homeomorphic to the space of Busemann functions on X {\displaystyle X} modulo translations. A quasi-isometry between...
    20 KB (3,116 words) - 15:29, 23 June 2025
  • Thumbnail for Inverse hyperbolic functions
    hyperbolic and trigonometric functions". math stackexchange. stackexchange. Retrieved 3 November 2016. Herbert Busemann and Paul J. Kelly (1953) Projective...
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  • Minkowski space is generated by the Blaschke–Busemann construction if and only if the support function of the indicatrix has the form of (1), where σ...
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  • Thumbnail for Operation Paperclip
    first director of NASA's Kennedy Space Center, and von Braun. Dr. Adolf Busemann was born in Lübeck, Germany, in 1902. He graduated from the Carolo Wilhelmina...
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  • the mathematical field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks...
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  • manifolds in a way that the exponential map are twice-differentiable (Busemann 1955). Geodesic normal coordinates are local coordinates on a manifold...
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  • Thumbnail for Ludwig Prandtl
    work on the problem further until the 1920s, when he worked with Adolf Busemann and created a method for designing a supersonic nozzle in 1929. Today,...
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  • Thumbnail for Victor Bangert
    1142/s0129167x93000029. ISSN 0129-167X. Bangert, Victor (1994). "Geodesic rays, Busemann functions and monotone twist maps". Calculus of Variations and Partial Differential...
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  • Herbert Busemann, Selected Works, (Athanase Papadopoulos, ed.) Volume I, 908 p., Springer International Publishing, 2018. Herbert Busemann, Selected...
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  • Thumbnail for Sonic boom
    theoretical designs do not appear to create sonic booms at all, such as the Busemann biplane. However, creating a shockwave is inescapable if it generates aerodynamic...
    30 KB (3,692 words) - 08:36, 29 June 2025
  • Thumbnail for Bogeyman
    pookha (Irish), pwca, bwga or bwgan (Welsh), bucca (Cornish), buse or busemann (Norwegian), puki (Old Norse), bøhmand or bussemand (Danish), bûzeman (Western...
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  • fixed volume, the shape for minimum wave drag is the Von Karman Ogive. The Busemann biplane theoretical concept is not subject to wave drag when operated at...
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  • intersection bodies for n=4 but are not intersection bodies for n ≥ 5. Busemann–Petty problem Shephard's problem Bourgain, Jean; Lindenstrauss, J. (1988)...
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  • for convex bodies and the notion of projection bodies of convex bodies. Busemann–Petty problem Shephard 1964. Petty 1967. Schneider 1967. Gardner, Richard...
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  • Denise M.; Dušan, Repovš (23 December 2008). "The Bing–Borsuk and the Busemann conjectures". Mathematical Communications. 13 (2). arXiv:0811.0886. Milnor...
    44 KB (5,324 words) - 08:58, 22 June 2025
  • Thumbnail for Børge Jessen
    best known for his work in analysis, specifically on the Riemann zeta function, and in geometry, specifically on Hilbert's third problem. Jessen was born...
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  • theorem (geometric topology) Bolyai–Gerwien theorem (discrete geometry) Busemann's theorem (Euclidean geometry) Carathéodory's theorem (convex geometry)...
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  • entrepreneur (1928–1990) Jan Burgers – Dutch physicist (1895–1981) Adolf Busemann – German aerospace engineer Sébastien Candel – French physicist (born 1946)...
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  • distinguished geodesics traces back to the work of the mathematician Herbert Busemann. The convention to call a collection of paths of a metric space bicombing...
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  • only 7 function fields over finite fields with genus > 0 and class number 1, but in 2013 Stirpe found another; there are in fact exactly 8. Busemann–Petty...
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  • Pure Appl. Math. 29 (5): 495–516. doi:10.1002/cpa.3160290504. Herbert Busemann (1959) Minkowski’s and related problems for convex surfaces with boundaries...
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  • Thumbnail for Lyndon LaRouche
    other Peenemunde rocket experts, such as Krafft Arnold Ehricke, Adolf Busemann, Konrad Dannenberg, and Hermann Oberth. When Rudolph was forced to renounce...
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  • Winston. 1979. Bending of surfaces and stability of shells. AMS. 1988. Busemann regular G-spaces. Harwood. 1999. Geometry [translated from the Russian...
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  • Thumbnail for Fritz Joachim Weyl
    Meromorphic Functions and Analytic Curves. Princeton University Press. ISBN 0691095744. {{cite book}}: ISBN / Date incompatibility (help) Busemann, H. (1944)...
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  • Thumbnail for Hans Lewy
    After Hitler's election as chancellor in 1933, Lewy was advised by Herbert Busemann to leave Germany again. He was offered a position in Madrid, but declined...
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