Invariant metrics on cohomogeneity one manifolds

DOI10.1023/A:1005115203212zbMath0978.53075OpenAlexW94168196MaRDI QIDQ1304017

Luigi Verdiani

Publication date: 7 February 2002

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005115203212

zbMATH Keywords

curvature tensororthogonal groupsectional curvaturetwisted productKilling vector fieldsinvariant metricscohomogeneity onesingular orbit

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Smoothness conditions in cohomogeneity one manifolds ⋮ Totally geodesic singular orbits and symmetric singular orbits in cohomogeneity one Riemannian manifolds ⋮ Cohomogeneity one de Sitter space \(S^n_1\) ⋮ On cohomogeneity two Riemannian manifolds of non-positive curvature ⋮ Cohomogeneity one Riemannian manifolds of non-positive curvature ⋮ Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. I ⋮ Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. II

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