ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS

DOI10.1142/S0129167X1250111XzbMath1262.53065MaRDI QIDQ4908350

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Publication date: 5 March 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental groupfirst Betti numberextreme volume formGromov pre-compactnessintegral Ricci curvature

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (11)

Integral curvature bounds and diameter estimates on Finsler manifolds ⋮ Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications ⋮ Comparison theorems in Finsler geometry with integral weighted Ricci curvature bounds and their applications ⋮ Hardy inequalities with best constants on Finsler metric measure manifolds ⋮ Unnamed Item ⋮ Comparison theorems in Riemann-Finsler geometry with line radial integral curvature bounds and related results ⋮ Volume growth of Finsler manifolds with integral Ricci curvature bound ⋮ Growth of fundamental group for Finsler manifolds with integral Ricci curvature bound ⋮ Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications ⋮ Eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound ⋮ Comparison theorems on Riemannian–Finsler manifolds with curvature quadratic decay and their applications

Cites Work

• On fundamental groups of Finsler manifolds
• Comparison theorems in Finsler geometry and their applications
• On the topology of complete manifolds of non-negative Ricci curvature
• Bounds on the fundamental groups with integral curvature bound
• Gromov pre-compactness theorems for nonreversible Finsler manifolds
• Volume comparison and its applications in Riemann-Finsler geometry
• Relative volume comparison with integral curvature bounds
• A sphere theorem for non-reversible Finsler metrics
• Integral curvature bounds, distance estimates and applications
• A note on curvature and fundamental group
• Volume form and its applications in Finsler geometry
• Analysis and geometry on manifolds with integral Ricci curvature bounds. II
• Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature

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