Ricci-flat Douglas \((\alpha,\beta)\)-metrics

DOI10.1016/j.difgeo.2011.11.003zbMath1243.53041OpenAlexW2331070311WikidataQ115356760 ScholiaQ115356760MaRDI QIDQ763050

Yanfang Tian, Xin Yue Cheng

Publication date: 8 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.11.003

zbMATH Keywords

Ricci curvatureDouglas metric\((\alpha,\beta)\)-metricBerwald 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 (13)

On a class of quasi-Einstein Finsler metrics ⋮ Properties of the Riemannian curvature of \((\alpha,\beta)\)-metrics ⋮ On Douglas warped product metrics ⋮ 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 ⋮ Some Aspects on a Special Type of $(\alpha,\beta )$-metric ⋮ On a class of projectively Ricci-flat Finsler metrics ⋮ On the non-Riemannian quantity \(H\) of an \((\alpha, \beta)\)-metric ⋮ On Einstein Finsler metrics ⋮ Constructions of Einstein Finsler metrics by warped product ⋮ On Riemann curvature of singular square metrics

Cites Work

• A class of Finsler metrics with isotropic S-curvature
• A class of Einstein \(({\alpha}, {\beta})\)-metrics
• Über Finslersche und Cartansche Geometrie. IV. Projektivkrümmung allgemeiner affiner Räume und Finslerscher Räume skalarer Krümmung
• On a class of Douglas metrics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ricci-flat Douglas \((\alpha,\beta)\)-metrics