\textbf{S}-curvature and \textbf{E}-curvature of invariant \((\alpha,\beta)\)-metric on homogeneous space

DOI10.1016/J.DIFGEO.2021.101760zbMath1468.53062OpenAlexW3141639206WikidataQ115354562 ScholiaQ115354562MaRDI QIDQ2034559

Yanyan Li

Publication date: 22 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101760

zbMATH Keywords

\textbf{S}-curvature\textbf{E}-curvatureinvariant \((\alpha,\beta)\)-metricreductive homogeneous manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (3)

A characterization of weakly Berwald spaces with \((\alpha,\beta)\)-metrics ⋮ On isotropic Berwald scalar curvature ⋮ Naturally reductive \((\alpha_1, \alpha_2)\) metrics

Cites Work

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• Volume comparison and its applications in Riemann-Finsler geometry
• The group of isometries of a Finsler space.
• Homogeneous Finsler Spaces
• On a Class of Landsberg Metrics in Finsler Geometry
• ON WEAKLY-BERWALD SPACES OF SPECIAL (α, β)-METRICS

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