Geodesic orbit Finsler spaces with \(K \geq 0\) and the (FP) condition

DOI10.1515/advgeom-2021-0023OpenAlexW3175332733MaRDI QIDQ2238261

Ming Xu

Publication date: 1 November 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05985

zbMATH Keywords

Finsler manifoldflag curvaturehomogeneous Finsler spacegeodesic orbit Finsler spacenon-negatively curved condition

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

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Cites Work

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• Curvatures of homogeneous Randers spaces
• Ricci curvatures of left invariant Finsler metrics on Lie groups
• Finsler spaces whose geodesics are orbits
• Compact Riemannian manifolds with homogeneous geodesics
• Weakly symmetric spaces and spherical varieties
• Geodesic orbit Riemannian structures on \(\mathbf{R}^n\)
• On the structure of geodesic orbit Riemannian spaces
• Recent progress on homogeneous Finsler spaces with positive curvature
• Flag curvatures of homogeneous Finsler spaces
• Normal homogeneous Finsler spaces
• \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem
• Homogeneous geodesics in generalized Wallach spaces
• On homogeneous geodesics and weakly symmetric spaces
• Homogeneous Finsler spaces and the flag-wise positively curved condition
• Geodesic orbit spheres and constant curvature in Finsler geometry
• Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive
• New examples of Riemannian g.o. manifolds in dimension 7
• On the fundamental equations of homogeneous Finsler spaces
• Examples of flag-wise positively curved spaces
• Reversible homogeneous Finsler metrics with positive flag curvature
• Rigidity of negatively curved geodesic orbit Finsler spaces
• Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• Isometric submersions of Finsler manifolds
• Homogeneous Finsler Spaces
• Structure and Geometry of Lie Groups
• Riemannian flag manifolds with homogeneous geodesics
• Even dimensional homogeneous Finsler spaces with positive flag curvature

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