On the Rigidity of Spherically Symmetric Finsler Metrics with Isotropic $E$-Curvature

zbMath1485.53025arXiv1808.10667MaRDI QIDQ5019862

Sarita Rani, Gauree Shanker

Publication date: 11 January 2022

Full work available at URL: https://arxiv.org/abs/1808.10667

zbMATH Keywords

rigidityprojectively flatdually flatspherically symmetric Finsler metricisotropice-curvature

Mathematics Subject Classification ID

Rigidity results (53C24) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• Some constructions of projectively flat Finsler metrics
• A class of Finsler metrics with isotropic S-curvature
• The general four-dimensional spherically symmetric Finsler space
• Volume comparison and its applications in Riemann-Finsler geometry
• Finsler manifolds with positive constant flag curvature
• Rigidity of noncompact Finsler manifolds
• Dually flat general spherically symmetric Finsler metrics
• Finsler manifolds with nonpositive flag curvature and constant S-curvature
• On a class of projectively flat Finsler metrics with weakly isotropic flag curvature
• Riemann-Finsler geometry with applications to information geometry
• On the classification of projectively flat Finsler metrics with constant flag curvature
• ON SPHERICALLY SYMMETRIC FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE
• ON LOCALLY DUALLY FLAT FINSLER METRICS
• ON $S$-CURVATURE OF A HOMOGENEOUS FINSLER SPACE WITH RANDERS CHANGED SQUARE METRIC
• On Spherically Symmetric Landsberg Metrics
• Homogeneous Finsler spaces with some special $(\alpha, \beta)$-metrics
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