On a class of gradient almost Ricci solitons

DOI10.1007/s40840-020-00889-9zbMath1451.53057arXiv2001.00749OpenAlexW3000373147WikidataQ126380407 ScholiaQ126380407MaRDI QIDQ2006689

Sinem Güler

Publication date: 12 October 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00749

zbMATH Keywords

Ricci solitongradient Ricci solitonWalker manifoldgradient \(h\)-almost Ricci solitonhalf-conformally flat manifoldstandard static spacetime metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Sequential Warped Products and Their Applications ⋮ Three-dimensional Riemannian manifolds and Ricci solitons ⋮ On generalized quasi Einstein standard static spacetimes ⋮ Unnamed Item ⋮ Imperfect fluid generalized Robertson Walker spacetime admitting Ricci-Yamabe metric ⋮ Relativistic perfect fluid spacetimes and Ricci-Yamabe solitons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classification of \((m, \rho)\)-quasi-Einstein manifolds
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• On the \(h\)-almost Ricci soliton
• Rigidity of quasi-Einstein metrics
• The nonexistence of quasi-Einstein metrics
• A note on 4-dimensional locally conformally flat Walker manifolds
• Deforming the metric on complete Riemannian manifolds
• Twisted products in pseudo-Riemannian geometry
• Special standard static space-times
• Three-manifolds with positive Ricci curvature
• \((m,\rho)\)-quasi-Einstein metrics in the frame-work of \(K\)-contact manifolds
• On the rigidity of generalized quasi-Einstein manifolds
• Bach-flat \(h\)-almost gradient Ricci solitons
• Gradient Ricci almost soliton warped product
• Laplace, Einstein and related equations on \(D\)-general warping
• The Geometry of Walker Manifolds
• Rigidity of (m,ρ)-quasi Einstein manifolds
• Compact Einstein warped product spaces with nonpositive scalar curvature
• On warped product manifolds satisfying Ricci-Hessian class type equations
• Half conformally flat gradient Ricci almost solitons
• A curvature condition for a twisted product to be a warped product

This page was built for publication: On a class of gradient almost Ricci solitons