On general \((\alpha,\beta)\)-metrics with isotropic \(S\)-curvature

DOI10.1016/J.JMAA.2018.04.049zbMath1391.53087OpenAlexW2799997708MaRDI QIDQ1754674

Hongmei Zhu

Publication date: 31 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.049

zbMATH Keywords

Finsler metricisotropic \(S\)-curvaturegeneral \((\alpha, \beta)\)-metric

Mathematics Subject Classification ID

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

Related Items (9)

On Finsler warped product metrics with special curvatures properties ⋮ On a class of quasi-Einstein Finsler metrics ⋮ Finsler warped product metrics with isotropic \(S\)-curvature ⋮ On projective Riemann curvature ⋮ On the equivalence of two non-Riemannian curvatures in warped product Finsler metrics ⋮ On isoperimetric problem in 2-dimensional Randers space ⋮ Rigidity of Finsler gradient steady Ricci soliton ⋮ On a class of projective Ricci curvature of Finsler metrics ⋮ On conformal transformations of general \((\alpha,\beta)\)-metrics

Cites Work

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• The spherically symmetric Finsler metrics with isotropic S-curvature
• On a new class of Finsler metrics
• Comparison theorems in Finsler geometry and their applications
• A class of Finsler metrics with isotropic S-curvature
• S-curvature of isotropic Berwald metrics
• Volume comparison and its applications in Riemann-Finsler geometry
• On a class of two-dimensional Finsler manifolds of isotropic S-curvature
• Finsler manifolds with nonpositive flag curvature and constant S-curvature
• Measurable \((\alpha ,\beta)\)-spaces with vanishing \textbf{S}-curvature
• On locally dually flat \((\alpha,\beta)\)-metrics with isotropic S-curvature
• On a class of spherically symmetric Finsler metrics with isotropic S-curvature
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• ON THE PROJECTIVE ALGEBRA OF SOME (α, β)-METRICS OF ISOTROPIC S-CURVATURE
• Projectively Flat Fourth Root Finsler Metrics
• ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE
• Generalized P-reducible (α, β)-metrics with vanishing S-curvature
• RANDERS METRICS OF SCALAR FLAG CURVATURE

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