A note on four-dimensional (anti-)self-dual quasi-Einstein manifolds

DOI10.1016/j.difgeo.2012.09.005zbMath1257.53068arXiv1102.3893OpenAlexW1967301744WikidataQ115356669 ScholiaQ115356669MaRDI QIDQ1931893

Giovanni Catino

Publication date: 16 January 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3893

zbMATH Keywords

self-dualquasi-Einstein manifoldshalf conformally flat

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (12)

On the classification of 4-dimensional \((m,\rho )\)-quasi-Einstein manifolds with harmonic Weyl curvature ⋮ Generalized quasi-Einstein manifolds with harmonic anti-self dual Weyl tensor ⋮ A NOTE ON THE CLASSIFICATION OF NONCOMPACT QUASI-EINSTEIN MANIFOLDS WITH VANISHING CONDITION ON THE WEYL TENSOR ⋮ The classification of \((m, \rho)\)-quasi-Einstein manifolds ⋮ A note on (anti-)self dual quasi Yamabe gradient solitons ⋮ On self-duality and anti-self-duality of four-dimensional neutral Lie groups ⋮ Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) ⋮ Harmonic Aspects in an $\eta$-Ricci Soliton ⋮ Remarks on compact quasi-Einstein manifolds with boundary ⋮ A Weitzenböck formula for canonical metrics on four-manifolds ⋮ A note on generalized quasi‐Einstein manifolds ⋮ A note on gradient generalized quasi-Einstein manifolds

Cites Work

• New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kähler manifolds
• Rigidity of quasi-Einstein metrics
• Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces
• Einstein manifolds
• On conformally-flat spaces in the large
• Non-compact cohomogeneity one Einstein manifolds
• Compact Einstein warped product spaces with nonpositive scalar curvature
• Locally conformally flat quasi-Einstein manifolds
• On locally conformally flat gradient steady Ricci solitons
• Riemannian geometry
• Unnamed Item

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