On spherically symmetric Finsler metrics with vanishing Douglas curvature

DOI10.1016/J.DIFGEO.2013.09.002zbMath1286.53027OpenAlexW1993748601WikidataQ115356510 ScholiaQ115356510MaRDI QIDQ386018

Keti Tenenblat, Newton Mayer Solórzano, Xiaohuan Mo

Publication date: 13 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.09.002

zbMATH Keywords

Finsler metricprojectively flatspherically symmetricDouglas curvature

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (21)

On a projective class of Finsler metrics with orthogonal invariance ⋮ Dually flat general spherically symmetric Finsler metrics ⋮ On a class of Douglas Finsler metrics ⋮ On Douglas warped product metrics ⋮ On Finsler metrics of quadratic curvature ⋮ On \(D\)-recurrent Finsler metrics ⋮ On Douglas general \((\alpha,\beta)\)-metrics ⋮ On spherically symmetric Finsler metric with scalar and constant flag curvature ⋮ On weakly Douglas warped product Finsler metrics ⋮ On the equivalence of two non-Riemannian curvatures in warped product Finsler metrics ⋮ On invariant Finsler metrics under (almost) β-changes ⋮ Finsler warped product metrics with special Riemannian curvature properties ⋮ On cylindrical symmetric projectively flat Finsler metrics ⋮ The spherically symmetric Finsler metrics with isotropic S-curvature ⋮ Reduction of certain Douglas flat Finsler metrics ⋮ On conformal fields of a class of orthogonally invariant Finsler metrics ⋮ On a class of projective Ricci curvature of Finsler metrics ⋮ Projective Ricci flat spherically symmetric Finsler metrics ⋮ Finsler Warped Product Metrics of Douglas Type ⋮ Finsler Warped Product Metrics with Relatively Isotropic Landsberg Curvature ⋮ A class of Finsler metrics of scalar flag curvature

Cites Work

• On spherically symmetric Finsler metrics of scalar curvature
• On a new class of Finsler metrics
• Ricci-flat Douglas \((\alpha,\beta)\)-metrics
• The explicit construction of Finsler metrics with special curvature properties
• ON A CLASS OF RICCI-FLAT DOUGLAS METRICS
• On a class of Douglas metrics
• Projectively flat Finsler metrics of constant flag curvature
• Projectively flat Finsler metrics with orthogonal invariance
• Spherically symmetric Finsler metrics in $R^n$
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