Four-dimensional Einstein-like manifolds and curvature homogeneity

DOI10.1007/BF01265339zbMath0835.53056OpenAlexW2079313003MaRDI QIDQ1900014

Andrea F. Spiro, Fabio Podestà

Publication date: 21 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf01265339

zbMATH Keywords

locally symmetriccurvature homogeneous Riemannian manifoldeigenvalues of the Ricci operator

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Four-Dimensional Homogeneous Generalizations of Einstein Metrics ⋮ Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension \(\leq 6\) ⋮ The classification of 4-dimensional homogeneous D'Atri spaces revisited ⋮ Some geometrical properties of Berger Spheres ⋮ The Riemann extensions with cyclic parallel Ricci tensor ⋮ Classification of 4-dimensional homogeneous D’Atri spaces ⋮ Homogeneous conformal \(C\)-spaces in dimension four ⋮ Homogeneous four-manifolds with half-harmonic Weyl curvature tensor

Cites Work

• Unnamed Item
• Einstein-like manifolds which are not Einstein
• The fundamental equations of a submersion
• Homogeneous Einstein spaces of dimension four
• Curvature homogeneous riemannian manifolds
• A characterization of locally homogeneous Riemann manifolds of dimension 3

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