Ricci almost solitons: complete examples

2025/07/21 by Wolfgang Kühnel, Kühnel, Wolfgang, Hans–Bert Rademacher +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2507.15360

Abstract

We construct new examples of various solitons as warped products. There are classes of complete Ricci almost solitons and complete Ricci-Bourguignon solitons that can be explicitly described in terms of elementary functions.

Citations

• Ricci-Bourguignon solitons on sequential warped products
• On complete gradient Schouten solitons
• Conformally Einstein product spaces
• Gradient Einstein solitons
• Ricci solitons: the equation point of view
• Comparison Geometry for the Bakry-Emery Ricci Tensor

Related

• A nongradient Ricci almost soliton
• Back to almost Ricci solitons
• Homogeneous Ricci almost solitons
• Some New Examples of Non-Kähler Ricci Solitons
• On the H-almost ricci soliton