On the almost quasi-Yamabe solitons

DOI10.1142/S0219887817501614zbMath1381.58009OpenAlexW2737982913MaRDI QIDQ4599424

Vahid Pirhadi, Asadollah Razavi

Publication date: 2 January 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817501614

zbMATH Keywords

Yamabe flowYamabe solitonquasi-Einstein manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral flows (58J30) Soliton solutions (35C08)

Related Items

\(\delta\)-almost Yamabe solitons in paracontact metric manifolds ⋮ On Ricci-Yamabe soliton and geometrical structure in a perfect fluid spacetime ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow ⋮ A note on almost co-Kähler manifolds ⋮ Perfect fluid spacetimes and $k$-almost Yamabe solitons ⋮ Notes on \(m\)-quasi Yamabe gradient solitons ⋮ Unnamed Item ⋮ The \(k\)-almost Yamabe solitons and contact metric manifolds ⋮ A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons ⋮ Triviality results for compact \(k\)-Yamabe solitons ⋮ A note on quasi-Yamabe solitons on contact metric manifolds ⋮ Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry

Cites Work

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• The classification of locally conformally flat Yamabe solitons
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• Global existence and convergence of Yamabe flow
• Some applications of the Hodge-de Rham decomposition to Ricci solitons
• A compact gradient generalized quasi-Einstein metric with constant scalar curvature
• Rigidity of gradient Ricci solitons
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Ricci almost solitons
• Scalar Curvature Functions in a Conformal Class of Metrics and Conformal Transformations
• Yamabe flow on Berwald manifolds

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