Conformal diffeomorphisms of gradient Ricci solitons and generalized quasi-Einstein manifolds

DOI10.1007/s12220-013-9442-5zbMath1312.53066arXiv1209.1118OpenAlexW1973061851MaRDI QIDQ2256849

William Wylie, Jeffrey L. Jauregui

Publication date: 23 February 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1118

zbMATH Keywords

conformal diffeomorphismwarped productgradient Ricci solitonconformal Killing fieldgeneralized quasi Einstein space

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (12)

On the classification of 4-dimensional \((m,\rho )\)-quasi-Einstein manifolds with harmonic Weyl curvature ⋮ On generalized \(m\)-quasi-Einstein manifolds with constant Ricci curvatures ⋮ Basic structural equations for almost Ricci-harmonic solitons and applications ⋮ Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds ⋮ Gradient Ricci solitons with a conformal vector field ⋮ Diameter estimate for a class of compact generalized quasi-Einstein manifolds ⋮ On gradient solitons of the Ricci-harmonic flow ⋮ The characterizations on a class of weakly weighted Einstein-Finsler metrics ⋮ Quasi-Einstein manifolds admitting conformal vector fields ⋮ Sectional curvature for Riemannian manifolds with density ⋮ A note on generalized quasi‐Einstein manifolds ⋮ Rigid properties for gradient generalized \(m\)-quasi-Einstein manifolds and gradient shrinking Ricci solitons

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