The spherically symmetric Finsler metrics with isotropic S-curvature

DOI10.1016/j.jmaa.2015.05.074zbMath1323.53019arXiv1409.2587OpenAlexW2964112632MaRDI QIDQ491825

Linfeng Zhou

Publication date: 19 August 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2587

zbMATH Keywords

spherical symmetryS-curvature

Mathematics Subject Classification ID

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

Related Items (12)

Dually flat general spherically symmetric Finsler metrics ⋮ Finsler warped product metrics with isotropic \(S\)-curvature ⋮ A note on “On the classification of Landsberg spherically symmetric Finsler metrics” ⋮ Unnamed Item ⋮ On general \((\alpha,\beta)\)-metrics with isotropic \(S\)-curvature ⋮ Unnamed Item ⋮ On conformal transformations of general \((\alpha,\beta)\)-metrics ⋮ Projective Ricci flat spherically symmetric Finsler metrics ⋮ On a class of spherically symmetric Finsler metrics with isotropic S-curvature ⋮ Finsler Warped Product Metrics with Relatively Isotropic Landsberg Curvature ⋮ A class of Finsler metrics of scalar flag curvature ⋮ On Spherically Symmetric Landsberg Metrics

Cites Work

• On spherically symmetric Finsler metrics with vanishing Douglas curvature
• Projective spherically symmetric Finsler metrics with constant flag curvature in \(\mathbb {R} ^{n }\)
• On spherically symmetric Finsler metrics of scalar curvature
• Comparison theorems in Finsler geometry and their applications
• A class of Finsler metrics with isotropic S-curvature
• Volume comparison and its applications in Riemann-Finsler geometry
• Randers metrics with special curvature properties
• Measurable \((\alpha ,\beta)\)-spaces with vanishing \textbf{S}-curvature
• The Finsler surface with \(K=0\) and \(J=0\)
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE
• Spherically symmetric Finsler metrics in $R^n$
• RANDERS METRICS OF SCALAR FLAG CURVATURE
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