Some characterizations of \(\rho\)-Einstein solitons

DOI10.1016/j.geomphys.2021.104270zbMath1468.53032arXiv2101.03896OpenAlexW3120114027MaRDI QIDQ2032818

Absos Ali Shaikh, Prosenjit Mandal, Antonio W. Cunha

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03896

zbMATH Keywords

harmonic functionscalar curvatureRiemannian manifoldsparabolicity\(\rho\)-Einstein solitonstraceless Ricci solitons

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

Some characterizations of -Einstein solitons on Sasakian manifolds ⋮ Diameter estimation of gradient \(\rho \)-Einstein solitons ⋮ Characterization of general relativistic spacetime equipped with \(\eta \)-Ricci-Bourguignon soliton ⋮ On scalar curvature of \(r\)-almost Yamabe solitons ⋮ A note on the triviality of gradient solitons of the Ricci-Bourguignon flow ⋮ Geometry of almost contact metrics as an almost ∗-η-Ricci–Bourguignon solitons ⋮ On Ricci-Bourguignon solitons: triviality, uniqueness and scalar curvature estimates ⋮ On scalar curvature of \(r\)-almost Newton-Ricci solitons ⋮ Certain triviality results for Ricci-Bourguignon almost solitons ⋮ Certain results of \(\kappa\)-almost gradient Ricci-Bourguignon soliton on pseudo-Riemannian manifolds

Cites Work

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• The classification of \((m, \rho)\)-quasi-Einstein manifolds
• On generalized \(m\)-quasi-Einstein manifolds with constant scalar curvature
• The Ricci-Bourguignon flow
• Complete foliations of space forms by hypersurfaces
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• Integral pinched gradient shrinking \(\rho\)-Einstein solitons
• Rigidity of gradient Einstein shrinkers
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Some results on $\eta$-Ricci Soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold

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