ON A CLASS OF RICCI-FLAT DOUGLAS METRICS

DOI10.1142/S0129167X12500462zbMath1251.53019OpenAlexW1990593180MaRDI QIDQ2888825

Lili Zhao, Esra Sengelen Sevim, Zhong-min Shen

Publication date: 4 June 2012

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

Full work available at URL: https://doi.org/10.1142/s0129167x12500462

zbMATH Keywords

Ricci curvature\((\alpha , \beta )\)-metricsDouglas-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)

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On a class of quasi-Einstein Finsler metrics, Properties of the Riemannian curvature of \((\alpha,\beta)\)-metrics, Deformations and Hilbert's fourth problem, On Douglas general \((\alpha,\beta)\)-metrics, Unnamed Item, On singular square metrics with vanishing Douglas curvature, Some Ricci-flat \((\alpha,\beta)\)-metrics, On spherically symmetric Finsler metrics with vanishing Douglas curvature, On a class of Ricci-flat Finsler metrics in Finsler geometry, Projectively flat singular square metrics with constant flag curvature, Finsler warped product metrics with special Riemannian curvature properties, Rigidity of Finsler gradient steady Ricci soliton, On Einstein Matsumoto metrics, On dually flat square metrics, On conformal fields of a class of orthogonally invariant Finsler metrics, On a class of projectively Ricci-flat Finsler metrics, On Einstein Finsler metrics, Constructions of Einstein Finsler metrics by warped product, On Riemann curvature of singular square metrics, Homogeneous Einstein Finsler Metrics on -dimensional Spheres

Cites Work

• A class of Finsler metrics with isotropic S-curvature
• Über Finslersche und Cartansche Geometrie. IV. Projektivkrümmung allgemeiner affiner Räume und Finslerscher Räume skalarer Krümmung