On conformal transformations between two \((\alpha,\beta)\)-metrics

DOI10.1016/j.difgeo.2013.01.001zbMath1279.53018OpenAlexW1997250072WikidataQ115356634 ScholiaQ115356634MaRDI QIDQ383809

Yangyang Zou, Guangzu Chen, Xin Yue Cheng

Publication date: 6 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.2013.01.001

zbMATH Keywords

Douglas metricconformal transformation\(S\)-curvature\((\alpha,\beta)\)-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 (9)

Unnamed Item ⋮ Conformally related Douglas metrics in dimension two are Randers ⋮ On Kropina metrics with non-Riemannian curvature properties ⋮ Unnamed Item ⋮ Finsler conformal changes preserving the modified Ricci curvature ⋮ S-closed conformal transformations in Finsler geometry ⋮ Unnamed Item ⋮ On conformal transformations of general \((\alpha,\beta)\)-metrics ⋮ Unnamed Item

Cites Work

• A class of Finsler metrics with isotropic S-curvature
• On a class of Douglas metrics
• AN IMPORTANT CLASS OF CONFORMALLY FLAT WEAK EINSTEIN FINSLER METRICS
• 共形平坦的Randers度量
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