A global classification result for Randers metrics of scalar curvature on closed manifolds

DOI10.1016/j.na.2007.08.067zbMath1237.53029OpenAlexW2038625132MaRDI QIDQ949729

Xiaohuan Mo

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.067

zbMATH Keywords

scalar curvatureFinsler manifoldRanders metric

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 (7)

On Obata theorem in Randers spaces ⋮ Finsler warped product metrics with isotropic \(S\)-curvature ⋮ On spherically symmetric Finsler metrics of scalar curvature ⋮ Finsler metrics with constant (or scalar) flag curvature ⋮ On geodesics of Finsler metrics via navigation problem ⋮ On some Finsler metrics of non-positive constant flag curvature ⋮ Finsler metrics with constant (or scalar) flag curvature

Cites Work

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• On Randers metrics with isotropic \(S\)-curvature
• The flag curvature tensor on a closed Finsler space
• The theory of sprays and Finsler spaces with applications in physics and biology
• Volume comparison and its applications in Riemann-Finsler geometry
• The explicit construction of Finsler metrics with special curvature properties
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE

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