Finsler manifolds without conjugate points and with integral Ricci curvature

DOI10.1007/S11856-011-0129-YzbMath1259.53071OpenAlexW2076960581MaRDI QIDQ1760349

Chang-Wan Kim

Publication date: 13 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0129-y

zbMATH Keywords

rigidity resultsFinsler spaces and generalizations

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Rigidity results (53C24) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (4)

Unnamed Item ⋮ Compact Finsler manifolds without focal points ⋮ Geodesic conjugacy for geodesically reversible Finsler metrics ⋮ Unnamed Item

Cites Work

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• Rigidity and the distance between boundary points
• Some smooth Finsler deformations of hyperbolic surfaces
• Filling Riemannian manifolds
• Planes without conjugate points
• The integral of the scalar curvature of complete manifolds without conjugate points
• Riemannian tori without conjugate points are flat
• Rigidity of noncompact Finsler manifolds
• On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume.
• A theorem of E. Hopf
• Examples of Finsler metrics without conjugate points: Metrics of revolution

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