Compact gradient \(\rho\)-Einstein soliton is isometric to the Euclidean sphere

DOI10.1007/s13226-021-00034-7zbMath1486.53064arXiv2003.05234OpenAlexW3185127727WikidataQ114220147 ScholiaQ114220147MaRDI QIDQ2243057

Absos Ali Shaikh, Chandan Kumar Mondal, Prosenjit Mandal

Publication date: 10 November 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05234

zbMATH Keywords

Riemannian manifoldscalar curvaturegradient \(\rho\)-Einstein Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (5)

Diameter estimation of gradient \(\rho \)-Einstein solitons ⋮ Some results on almost \(\ast \)-Ricci-Bourguignon solitons ⋮ Characterizations of Ricci-Bourguignon almost solitons on pseudo-Riemannian manifolds ⋮ A note on the triviality of gradient solitons of the Ricci-Bourguignon flow ⋮ Certain triviality results for Ricci-Bourguignon almost solitons

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• Integral pinched gradient shrinking \(\rho\)-Einstein solitons
• Rigidity of gradient Einstein shrinkers
• Recent Progress on Ricci Solitons
• Some results on $\eta$-Ricci Soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold

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