WEAKLY SYMMETRIC FINSLER SPACES

DOI10.1142/S0219199710003816zbMath1197.53093OpenAlexW4240688476MaRDI QIDQ3560165

Zixin Hou, Shaoqiang Deng

Publication date: 19 May 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199710003816

zbMATH Keywords

S-curvatureweakly symmetric Finsler spacesgroup of isometry

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (5)

Submersion and homogeneous spray geometry ⋮ Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property ⋮ Unnamed Item ⋮ On the classification of weakly symmetric Finsler spaces ⋮ Geodesic orbit spheres and constant curvature in Finsler geometry

Cites Work

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• Finsler manifolds modeled on a Minkowski space
• Weakly symmetric spaces and spherical varieties
• Homogeneous nilmanifolds attached to representations of compact Lie groups
• Geodesics in weakly symmetric spaces
• Volume comparison and its applications in Riemann-Finsler geometry
• Geometry of weakly symmetric spaces
• The group of isometries of a Finsler space.
• Naturally Reductive Homogeneous Riemannian Manifolds
• Invariant Finsler metrics on homogeneous manifolds
• Weakly symmetric Riemannian manifolds with reductive isometry group

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