Conformal vector fields on some Finsler manifolds

DOI10.1007/s11425-015-5099-9zbMath1342.53039OpenAlexW2265432295WikidataQ63493894 ScholiaQ63493894MaRDI QIDQ2629539

Mingao Yuan, Zhong-min Shen

Publication date: 6 July 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1805/10095

zbMATH Keywords

conformal vector fieldspherically symmetric metricsgeneral \((\alpha, \beta)\)-metrics

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 (8)

Conformal vector fields on Finsler warped product manifolds ⋮ Unnamed Item ⋮ Conformal vector fields on Finsler manifolds ⋮ On conformal fields of a class of orthogonally invariant Finsler metrics ⋮ On conformal transformations of general \((\alpha,\beta)\)-metrics ⋮ On the geometric structure ofsome statistical manifolds ⋮ Isoparametric hypersurfaces of a class of Finsler manifolds induced by navigation problem in Minkowski spaces ⋮ On generalization of Zermelo navigation problem on Riemannian manifolds

Cites Work

• Projective spherically symmetric Finsler metrics with constant flag curvature in \(\mathbb {R} ^{n }\)
• On spherically symmetric Finsler metrics of scalar curvature
• On a new class of Finsler metrics
• On Randers metrics with isotropic \(S\)-curvature
• Zermelo navigation on Riemannian manifolds
• On conformal vector fields on Randers manifolds
• Spherically symmetric Finsler metrics with constant Ricci and flag curvature
• A CLASS OF RANDERS METRICS OF SCALAR FLAG CURVATURE
• Conformal vector fields on a locally projectively flat Randers manifold

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