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In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds (simply connected complete Riemannian manifolds of nonpositive curvature). They are named after Herbert Busemann, who introduced them; he gave an extensive treatment of the topic in his 1955 book "The geometry of geodesics".
In geometric topology, Busemannfunctions 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 Busemannfunction This page lists people with the surname Busemann. If an internal...
{\displaystyle X} is proper then its boundary is homeomorphic to the space of Busemannfunctions on X {\displaystyle X} modulo translations. A quasi-isometry between...
c|xy|_{X}\leq |f(x)f(y)|_{Y}\leq C|xy|_{X}} Busemannfunction given a ray, γ : [0, ∞)→X, the Busemannfunction is defined by B γ ( p ) = lim t → ∞ ( | γ...
that each Busemannfunction is in fact (weakly) a harmonic function. Weyl's lemma implies the infinite differentiability of the Busemannfunctions. Then,...
hyperbolic and trigonometric functions". math stackexchange. stackexchange. Retrieved 3 November 2016. Herbert Busemann and Paul J. Kelly (1953) Projective...
first director of NASA's Kennedy Space Center, and von Braun. Dr. Adolf Busemann was born in Lubeck, Germany, in 1902. He graduated from the Carolo Wilhelmina...
Herbert Busemann, Selected Works, (Athanase Papadopoulos, ed.) Volume I, 908 p., Springer International Publishing, 2018. Herbert Busemann, Selected...
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,...
manifolds in a way that the exponential map are twice-differentiable (Busemann 1955). Geodesic normal coordinates are local coordinates on a manifold...
intersection bodies for n=4 but are not intersection bodies for n ≥ 5. Busemann–Petty problem Shephard's problem Bourgain, Jean; Lindenstrauss, J. (1988)...
plate tectonics. Rational choice theory as a model of human behavior. Busemann–Petty problem – in 1975, an error was found in a mathematical paper published...
1142/s0129167x93000029. ISSN 0129-167X. Bangert, Victor (1994). "Geodesic rays, Busemannfunctions and monotone twist maps". Calculus of Variations and Partial Differential...
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...
Winston. 1979. Bending of surfaces and stability of shells. AMS. 1988. Busemann regular G-spaces. Harwood. 1999. Geometry [translated from the Russian...
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...
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...
engineer and entrepreneur Jan Burgers – Dutch physicist (1895–1981) Adolf Busemann – German aerospace engineer Sébastien Candel – French physicist (born 1946)...
Parsons, Ægidius Elling, Sanford Alexander Moss, Willis Carrier, Adolf Busemann, Hermann Schlichting, Frank Whittle and Hans von Ohain. Centrifugal compressors...
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