Homogeneous spaces of curvature bounded below

DOI10.1007/BF02921936zbMath1009.53038OpenAlexW1979437290MaRDI QIDQ1589344

Valera Berestovskii, Conrad P. Plaut

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921936

zbMATH Keywords

curvaturehomogeneous spacecompact group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) General properties and structure of locally compact groups (22D05)

Related Items

The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold ⋮ Generalized normal homogeneous spheres ⋮ Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\) ⋮ On the filling radius of positively curved Alexandrov spaces ⋮ The structure of similarity homogeneous locally compact spaces with an intrinsic metric. II ⋮ Curvatures of homogeneous sub-Riemannian manifolds ⋮ \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem ⋮ Invariant local Dirichlet forms on locally compact groups ⋮ Geometrizing Infinite Dimensional Locally Compact Groups ⋮ Generalized normal homogeneous Riemannian metrics on spheres and projective spaces ⋮ On \(\delta \)-homogeneous Riemannian manifolds ⋮ On Clifford-Wolf homogeneous Riemannian manifolds ⋮ On \(\delta \)-homogeneous Riemannian manifolds ⋮ Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic ⋮ Covering group theory for topological groups ⋮ Covering group theory for locally compact groups ⋮ On similarity homogeneous locally compact spaces with intrinsic metric ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ A metric proof that $\delta $-homogeneous manifolds are geodesic orbit manifolds ⋮ Geometric groups. I ⋮ Left invariant Clifford-Wolf homogeneous \(\alpha, \beta)\)-metrics on compact semisimple Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost Riemannian spaces
• Manifolds near the boundary of existence
• Homogeneous Buseman G-spaces
• Spaces with bounded curvature and distance geometry
• Homogeneous Einstein metrics on spheres and projective spaces
• Curvatures of left invariant metrics on Lie groups
• Isometry groups of singular spaces
• Homogeneous manifolds with intrinsic metric. II
• Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive
• Spaces of Wald curvature bounded below
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• On some types of topological groups
• The structure of locally compact groups and Hilbert’s Fifth Problem
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Geometrizing Infinite Dimensional Locally Compact Groups