Four-dimensional homogeneous manifolds satisfying some Einstein-like conditions

DOI10.2996/kmj/1605063625zbMath1455.53072OpenAlexW3103933512MaRDI QIDQ2216085

M. Elena Vázquez-Abal, Rodrigo Mariño-Villar, Eduardo García-Río, Ali Haji-Badali

Publication date: 15 December 2020

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1605063625

zbMATH Keywords

homogeneous manifoldscritical metricfour-dimensional manifoldsEinstein and weakly-Einstein metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11) Local Riemannian geometry (53B20)

Related Items (6)

Four-Dimensional Homogeneous Generalizations of Einstein Metrics ⋮ Weakly Einstein real hypersurfaces in \(\mathbb{C} P^2\) and \(\mathbb{C} H^2\) ⋮ Curvature identities for Einstein manifolds of dimensions 5 and 6 ⋮ Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds ⋮ Strongly Einstein real hypersurfaces in \(\mathbb{C}P^2\) and \(\mathbb{C}H^2\) ⋮ Structure of locally conformally flat manifolds satisfying some weakly-Einstein conditions

Cites Work

• Curvature identities derived from the integral formula for the first Pontrjagin number
• Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds
• Variational properties of the Gauss-Bonnet curvatures
• Some remarks on the converse of Weyl's conformal theorem
• Curvatures of left invariant metrics on Lie groups
• Locally conformally flat weakly-Einstein manifolds
• A curvature identity on a 4-dimensional Riemannian manifold
• Curvature and metric
• Homogeneous Einstein spaces of dimension four
• Mean-value theorems for Riemannian manifolds

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