On a class of Einstein Finsler metrics

DOI10.1142/S0129167X1450030XzbMath1293.53027arXiv1307.0346OpenAlexW1984496000MaRDI QIDQ5418646

Changtao Yu, Zhong-min Shen

Publication date: 26 May 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0346

zbMATH Keywords

Douglas metricgeneral \((\alpha,\beta)\)-metricEinstein Finsler metric

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 (15)

On a class of two-dimensional Einstein Finsler metrics of vanishing S-curvature ⋮ On generalized Einstein Randers metrics ⋮ Unnamed Item ⋮ Flag curvatures of homogeneous Finsler spaces ⋮ On a class of projectively flat Finsler metrics ⋮ Unnamed Item ⋮ On dually flat square metrics ⋮ On a class of Finsler metrics of scalar flag curvature ⋮ On a class of projective Ricci curvature of Finsler metrics ⋮ General spherically symmetric Finsler metrics with constant Ricci and flag curvature ⋮ On conformal transformations of general \((\alpha,\beta)\)-metrics ⋮ Finsler metrics with special Riemannian curvature properties ⋮ Homogeneous Einstein Finsler Metrics on -dimensional Spheres ⋮ Projectively flat general \((\alpha, \beta)\)-metrics with constant flag curvature ⋮ On dually flat general \((\alpha,\beta)\)-metrics

Cites Work

• On a class of Ricci-flat Finsler metrics in Finsler geometry
• On a new class of Finsler metrics
• On the non-Riemannian quantity \(H\) of an \((\alpha, \beta)\)-metric
• A class of Einstein \(({\alpha}, {\beta})\)-metrics
• On Projectively Flat (α, β)-metrics
• Projectively flat Finsler metrics of constant flag curvature

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