On the non-Riemannian quantity \(H\) in Finsler geometry

DOI10.1016/J.DIFGEO.2010.12.002zbMath1215.53028OpenAlexW1998326705WikidataQ115357018 ScholiaQ115357018MaRDI QIDQ531736

Dongmei Tang

Publication date: 19 April 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.12.002

zbMATH Keywords

\(S\)-curvatureflag curvatureRanders metricsnon-Riemannian quantitynon-Riemannian quantity \(H\)

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 (9)

A NEW QUANTITY IN RIEMANN-FINSLER GEOMETRY ⋮ On H-curvature of Finsler warped product metrics ⋮ On Kropina metrics with non-Riemannian curvature properties ⋮ On the non-Riemannian quantity \(\boldsymbol{\Xi}\)-curvature of \((\alpha,\beta)\)-metrics ⋮ On conformal fields of a Randers metric with isotropic \(S\)-curvature ⋮ On the non-Riemannian quantity \(H\) of an \((\alpha, \beta)\)-metric ⋮ On the C-projective vector fields on Randers spaces ⋮ A class of Finsler metrics with almost vanishing \(H\)- and \(\Xi\)-curvatures ⋮ On conformally flat (\(\alpha\), \(\beta\))-metrics with special curvature properties

Cites Work

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• On the non-Riemannian quantity \(H\) of a Finsler metric
• Finsler manifolds with nonpositive flag curvature and constant S-curvature
• Randers metrics with special curvature properties
• Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties
• ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE
• RANDERS METRICS OF SCALAR FLAG CURVATURE

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