Homogeneous Randers spaces with isotropic S-curvature and positive flag curvature

DOI10.1007/s00209-010-0836-9zbMath1239.53095OpenAlexW1965099158MaRDI QIDQ415496

Zhiguang Hu, Shaoqiang Deng

Publication date: 8 May 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0836-9

zbMATH Keywords

homogeneous spacesflag curvatureS-curvatureRanders spaces

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (15)

\(S\)-curvature of cohomogeneity one Randers spaces ⋮ Homogeneous Einstein \((\alpha,\beta)\)-metrics on compact simple Lie groups and spheres ⋮ Towards the classification of odd-dimensional homogeneous reversible Finsler spaces with positive flag curvature ⋮ On the Ricci curvature of homogeneous Finsler spaces with $(\alpha,\beta)$-metrics ⋮ On non-positively curved homogeneous Finsler metrics ⋮ Curvatures of homogeneous Randers spaces ⋮ Recent progress on homogeneous Finsler spaces with positive curvature ⋮ Normal homogeneous Finsler spaces ⋮ Unnamed Item ⋮ Homogeneous \((\alpha, \beta)\)-spaces with positive flag curvature and vanishing S-curvature ⋮ Homogeneous Finsler spaces and the flag-wise positively curved condition ⋮ Geodesic orbit Randers metrics on spheres ⋮ Finsler spaces whose geodesics are orbits ⋮ On homogeneous Landsberg surfaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(S\)-curvature of homogeneous Randers spaces
• Positively curved homogeneous metrics on spheres
• New examples of manifolds with strictly positive curvature
• On a certain family of closed 13-dimensional Riemannian manifolds of positive curvature
• Volume comparison and its applications in Riemann-Finsler geometry
• Cohomogeneity one manifolds with positive Ricci curvature
• Zermelo navigation on Riemannian manifolds
• Finsler manifolds with nonpositive flag curvature and constant S-curvature
• Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive
• The group of isometries of a Finsler space.
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• Transformation groups of spheres
• Invariant Randers metrics on homogeneous Riemannian manifolds
• Nonnegatively and Positively curved manifolds
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature
• Some remarks about Lie groups transitive on spheres and tori
• Isometry groups of homogeneous spaces with positive sectional curvature

This page was built for publication: Homogeneous Randers spaces with isotropic S-curvature and positive flag curvature