Search results

In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold M where a (possibly asymmetric) Minkowski norm F(x...

generalizations of Riemannian geometry include Finsler geometry. There exists a close analogy of differential geometry with the mathematical structure...

theory of gravity. Finsler geometry has Finsler manifolds as the main object of study. This is a differential manifold with a Finsler metric, that is, a...

Pseudo-Riemannian manifold Sub-Riemannian manifold Finsler geometry General relativity G2 manifold Information geometry Fisher information metric covariant derivative...

Normed and Finsler Spaces" (PDF). In Bao, David; Bryant, Robert L.; Chern, Shiing-Shen; Shen, Zhongmin (eds.). A sampler of Riemann-Finsler geometry. MSRI...

Zhongmin, Editors, Finsler Geometry American Mathematical Society 1996 Shiing-Shen Chern, Zhongmin Shen, Riemann Finsler Geometry, World Scientific 2005...

Introduction to Riemann–Finsler Geometry, David Bao, Shiing-Shen Chern, Zhongmin Shen (2000, ISBN 978-1-4612-7070-6) Diophantine Geometry, Marc Hindry,...

are the basic objects of study in complex geometry. A one-complex-dimensional manifold is called a Riemann surface. An n {\displaystyle n} -dimensional...

the other in general.[citation needed] Smooth manifold Riemannian geometry Finsler manifold Sub-Riemannian manifold Pseudo-Riemannian manifold Metric...

Drinfeld's symmetric space Eilenberg–Mac Lane space Euclidean space Fiber space Finsler space First-countable space Fréchet space Function space G-space Geometric...

60 papers, and he has supervised 26 PhD students. A sampler of Riemann-Finsler Geometry, Cambridge University Press 2004 (editor with David Bao, S. S....

including in Finsler geometry. In the context of tensor index notation, it is common to use the letter R to represent three different things: the Riemann curvature...

Feuerbach's theorem (geometry) Fieller's theorem (statistics) Final value theorem (mathematical analysis) Finsler–Hadwiger theorem (geometry) Fisher separation...

In differential geometry a Rizza manifold, named after Giovanni Battista Rizza, is an almost complex manifold also supporting a Finsler structure: this...

emergence of differential geometry as a distinct discipline is generally credited to Carl Friedrich Gauss and Bernhard Riemann. Riemann first described manifolds...

In geometry, a geodesic (/ˌdʒiː.əˈdɛsɪk, -oʊ-, -ˈdiːsɪk, -zɪk/) is a curve representing in some sense the shortest path (arc) between two points in a surface...

Anti-self dual conformal structures in 4 dimensions Shiing-Shen Chern, Finsler geometry Richard S. Hamilton, An isoperimetric estimate for the curve-shrinking...

Finite geometry Finite model theory a restriction of model theory to interpretations on finite structures, which have a finite universe. Finsler geometry a...

contrast, in general there is no way to define normal coordinates for Finsler manifolds in a way that the exponential map are twice-differentiable (Busemann...

mathematician best known for his contributions to differential geometry, especially Finsler geometry. He taught in Munich and Prague for 32 years, publishing...