A generalization of a 4-dimensional Einstein manifold

DOI10.2478/s12175-013-0121-6zbMath1349.53030arXiv1010.3822OpenAlexW1985302360WikidataQ126107407 ScholiaQ126107407MaRDI QIDQ2843891

Kouei Sekigawa, Jeong Hyeong Park, Yunhee Euh

Publication date: 26 August 2013

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3822

zbMATH Keywords

Einstein manifoldSinger-Thorpe basisHitchin inequality

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20)

Related Items (13)

Singer-Thorpe bases for special Einstein curvature tensors in dimension 4 ⋮ Unnamed Item ⋮ Transplanting geometrical structures ⋮ Weakly Einstein real hypersurfaces in \(\mathbb{C} P^2\) and \(\mathbb{C} H^2\) ⋮ Curvature identities for Einstein manifolds of dimensions 5 and 6 ⋮ A curvature identity on a 4-dimensional Riemannian manifold ⋮ Strongly Einstein real hypersurfaces in \(\mathbb{C}P^2\) and \(\mathbb{C}H^2\) ⋮ Three-dimensional homogeneous contact metric manifold with weakly $\eta$-Einstein structures ⋮ Weakly Einstein equivalence in a golden space form and certain CR-submanifolds ⋮ Universal curvature identities ⋮ Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds ⋮ Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary ⋮ Classification of 4-dimensional homogeneous weakly einstein manifolds

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