On generalized \(m\)-quasi-Einstein manifolds with constant scalar curvature

DOI10.1016/j.jmaa.2015.07.021zbMath1323.53048OpenAlexW932091073WikidataQ125118876 ScholiaQ125118876MaRDI QIDQ493800

Dehe Li, Jing Xu, Ze-Jun Hu

Publication date: 4 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.021

zbMATH Keywords

constant scalar curvatureparallel Ricci tensorBakry-Emery Ricci tensor\(m\)-quasi-Einstein manifoldgeneralized \(m\)-quasi-Einstein manifold

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (16)

Gradient Einstein-type structures immersed into a Riemannian warped product ⋮ On generalized \(m\)-quasi-Einstein manifolds with constant Ricci curvatures ⋮ The curvature estimate of gradient \(\rho\) Einstein soliton ⋮ Perfect fluid spacetimes and gradient solitons ⋮ Characterizations of perfect fluid spacetimes obeying f(ℛ)-gravity equipped with different gradient solitons ⋮ Certain classification results on \(m\)-quasi Einstein manifolds ⋮ Investigation on gradient solitons in perfect fluid spacetimes ⋮ A note on gradient solitons on para-Kenmotsu manifolds ⋮ Rigid properties of generalized \(\tau \)-quasi Ricci-harmonic metrics ⋮ Unnamed Item ⋮ Compact gradient \(\rho\)-Einstein soliton is isometric to the Euclidean sphere ⋮ Gradient Yamabe and gradient \(m\)-quasi Einstein metrics on three-dimensional cosymplectic manifolds ⋮ Some characterizations of \(\rho\)-Einstein solitons ⋮ On generalized quasi-Einstein manifolds ⋮ \(m\)-quasi-Einstein metric and contact geometry ⋮ \(m\)-quasi-Einstein metrics satisfying certain conditions on the potential vector field

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