Special ball-homogeneous spaces

DOI10.4171/ZAA/792zbMath0892.53023OpenAlexW1970494905MaRDI QIDQ1381101

Giovanni Calvaruso, Lieven Vanhecke

Publication date: 3 August 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/792

zbMATH Keywords

Ricci tensorconformal flatnessball-homogeneous spacedistinct Ricci eigenvalues

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35)

Related Items (14)

Curvature properties of Lorentzian manifolds with large isometry groups ⋮ Distance distributions and inverse problems for metric measure spaces ⋮ CURVATURE HOMOGENEITY AND BALL-HOMOGENEITY ON ALMOST COKӒHLER 3-MANIFOLDS ⋮ A characterization of spaces of constant curvature by minimum covering radius of triangles ⋮ Homogeneity on three-dimensional contact metric manifolds ⋮ Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds ⋮ Semi-symmetric four dimensional neutral Lie groups ⋮ On the volume of the intersection of two geodesic balls ⋮ Semi-symmetric Lorentzian three-manifolds admitting a parallel degenerate line field ⋮ Conformally flat pseudo-symmetric spaces of constant type ⋮ Einstein-like Lorentzian Lie groups of dimension four ⋮ Semi-symmetric Lorentzian metrics and three-dimensional curvature homogeneity of order one ⋮ Three-dimensional semi-symmetric homogeneous Lorentzian manifolds ⋮ Torsion and homogeneity on contact metric three-manifolds

Cites Work

• Homogeneous contact Riemannian three-manifolds
• Riemannian geometry as determined by the volumes of small geodesic balls
• Ball-homogeneous and disk-homogeneous Riemannian manifolds
• Conformally flat Riemannian manifolds admitting a transitive group of isometries
• Contact manifolds in Riemannian geometry
• Einstein-like manifolds which are not Einstein
• Four-dimensional ball-homogeneous and \(C\)-spaces
• Curvature invariants, differential operators and local homogeneity
• A characterization of locally homogeneous Riemann manifolds of dimension 3
• A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃
• Semi-symmetric ball-homogeneous spaces and a volume conjecture
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