Geometric properties of second Ricci solitons

2025/12/04 by Khalili, Masoumeh, Fasihi-Ramandi, Ghodratallah, Azami, Shahroud
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · doi:10.48550/arxiv.2512.06027

Abstract

This paper introduce the idea of second Ricci solitons. A second Ricci soliton is nothing but a steady hyperbolic Ricci soliton. We study the geometry of closed and compact second Ricci soliton manifolds. Immersed submanifolds as second solitons also will be investigated. Finally, we investigate this structure on warped product manifolds.

Citations

• On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons
• On Warped product gradient Ricci Soliton
• Hyperbolic geometric flow (I): short-time existence and nonlinear stability

Related

• Back to almost Ricci solitons
• Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton
• Ricci Solitons on submanifolds of (LCS)_n-Manifolds
• Ricci solitons in contact metric manifolds
• Classification of Ricci solitons on Euclidean hypersurfaces