Ricci curvatures of left invariant Finsler metrics on Lie groups

DOI10.1007/S11856-015-1161-0zbMath1325.53097OpenAlexW2087633263WikidataQ115377681 ScholiaQ115377681MaRDI QIDQ499001

Libing Huang

Publication date: 29 September 2015

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

Full work available at URL: https://doi.org/10.1007/s11856-015-1161-0

zbMATH Keywords

unimodularinvariant Finsler metrics

Mathematics Subject Classification ID

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

Related Items (13)

Submersion and homogeneous spray geometry ⋮ Examples of flag-wise positively curved spaces ⋮ Parallel translations for a left invariant spray ⋮ The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Flag curvatures of homogeneous Finsler spaces ⋮ Left invariant spray structure on Lie group ⋮ \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem ⋮ Unnamed Item ⋮ Geodesic orbit Finsler spaces with \(K \geq 0\) and the (FP) condition ⋮ Inverse problem of left invariant sprays on Lie groups ⋮ On homogeneous Landsberg surfaces ⋮ Homogeneous Einstein Finsler Metrics on -dimensional Spheres ⋮ On the fundamental equations of homogeneous Finsler spaces

Cites Work

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• Curvatures of homogeneous Randers spaces
• Homogeneous geodesics in homogeneous Finsler spaces
• Curvatures of left invariant metrics on Lie groups
• Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems
• Curvature in Nilpotent Lie Groups

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