An Introduction to Riemann-Finsler Geometry

2000/01/01 by David Bao, D. Bao, Shiing-Shen Chern +3 · 27 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Curvature #Finsler manifold #Geometry #Mathematics #Pure mathematics #Ricci curvature #Riemann hypothesis

paper · doi:10.1007/978-1-4612-1268-3

crossref issued 2000/01/01 · crossref published 2000/01/01 · crossref published-print 2000/01/01 · openalex publication_date 2000/01/01 · crossref created 2011/08/03 · crossref deposited 2019/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02 · crossref indexed 2026/08/06

Cited by

• On singular generalized Berwald spacetimes and the equivalence principle
• Canonical frames in contact 3-manifolds and applications
• Geodesic string counting invariants and arithmetic of multiplicities
• Symmetry, causal structure and superluminality in Finsler spacetime
• Holomorphic invariant strongly pseudoconvex complex Finsler metrics
• PTOLEMAIC SPACES AND CAT(0)
• Classical Lagrangians for momentum dependent Lorentz violation
• Modified Friedmann model in Randers–Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
• Curve Flows and Solitonic Hierarchies Generated by (Semi) Riemannian Metrics
• Infinitesimal and Local Convexity of a Hypersurface in a Semi-Riemannian Manifold
• Homogeneous nonlinear splittings and Finsler submersions
• The causal structure of spacetime is a parameterized Randers geometry
• Even dimensional homogeneous Finsler spaces with positive flag curvature
• The ladder of Finsler-type objects and their variational problems on spacetimes
• On the energy functional on Finsler manifolds and applications to stationary spacetimes
• Distances Induced by Barbilian's Metrization Procedure
• Cosmological equivalence between the Finsler-Randers space-time and the DGP gravity model
• Lazy orbits: An optimization problem on the sphere
• Finsler geometry modeling and Monte Carlo study of skyrmion shape deformation by uniaxial stress
• Tunnel Effect for Kramers–Fokker–Planck Type Operators
• On a rigIDity condition for Berwald spaces
• On Sobolev spaces and density theorems on Finsler manifolds
• Nonlinear diffusion equations and curvature conditions in metric measure spaces
• Infinite dimensional symmetric cones and gauge-reversing maps
• The Landsberg equation of a Finsler space
• Finsler manifold [wikipedia]
• Scalar curvature [wikipedia]