In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds...
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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...
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c|xy|_{X}\leq |f(x)f(y)|_{Y}\leq C|xy|_{X}} Busemann function given a ray, γ : [0, ∞)→X, the Busemann function is defined by B γ ( p ) = lim t → ∞ ( | γ...
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Hyperbolic metric space (section Busemann functions)
{\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...
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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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hyperbolic and trigonometric functions". math stackexchange. stackexchange. Retrieved 3 November 2016. Herbert Busemann and Paul J. Kelly (1953) Projective...
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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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differential geometry, Springer 1970. Blaschke–Busemann measure Busemann function Busemann–Petty problem Busemann G {\displaystyle G} -space Geodesic bicombing...
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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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Herbert Busemann, Selected Works, (Athanase Papadopoulos, ed.) Volume I, 908 p., Springer International Publishing, 2018. Herbert Busemann, Selected...
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