Triviality results for compact \(k\)-Yamabe solitons

DOI10.1016/j.jmaa.2021.125274zbMath1467.53057arXiv2006.00501OpenAlexW3157129819MaRDI QIDQ2033144

Willian Isao Tokura, Elismar Dias Batista

Publication date: 14 June 2021

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

Full work available at URL: https://arxiv.org/abs/2006.00501

zbMATH Keywords

compact solutionsYamabe solitonstriviality results\(\sigma_k\)-curvaturegradient \(k\)-Yamabe solitons

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (5)

On Finslerian warped product gradient Yamabe solitons ⋮ A note on gradient \(k\)-Yamabe solitons ⋮ Rigidity results for Riemann and Schouten solitons ⋮ Classifications of quotion Yamabe solitons on Euclidean submanifolds with concurrent vector fields ⋮ Triviality results for quasi \(k\)-Yamabe solitons

Cites Work

• Unnamed Item
• Unnamed Item
• The classification of locally conformally flat Yamabe solitons
• A note on compact gradient Yamabe solitons
• The \(k\)-Yamabe solitons and the quotient Yamabe solitons
• On warped product gradient Yamabe solitons
• Some applications of the Hodge-de Rham decomposition to Ricci solitons
• Remarks on scalar curvature of Yamabe solitons
• Rigidity of gradient Ricci solitons
• A Kazdan-Warner type identity for the \(\sigma_{k}\) curvature
• Yamabe solitons, determinant of the Laplacian and the uniformization theorem for Riemann surfaces
• The yamabe flow on locally conformally flat manifolds with positive ricci curvature
• On the almost quasi-Yamabe solitons
• ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR

This page was built for publication: Triviality results for compact \(k\)-Yamabe solitons