In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds...

the author of Busemann's theorem Busemann biplane Busemann's theorem Busemann function This page lists people with the surname Busemann. If an internal...

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...

{\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...

that each Busemann function is in fact (weakly) a harmonic function. Weyl's lemma implies the infinite differentiability of the Busemann functions. Then,...

differential geometry, Springer 1970. Blaschke–Busemann measure Busemann function Busemann–Petty problem Busemann G {\displaystyle G} -space Geodesic bicombing...

hyperbolic and trigonometric functions". math stackexchange. stackexchange. Retrieved 3 November 2016. Herbert Busemann and Paul J. Kelly (1953) Projective...

the mathematical field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks...

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...

Herbert Busemann, Selected Works, (Athanase Papadopoulos, ed.) Volume I, 908 p., Springer International Publishing, 2018. Herbert Busemann, Selected...