A nongradient Ricci almost soliton

2025/07/28 by Filho, Antonio Airton Freitas
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.21370

Abstract

In this note, we present a construction method and an explicit example of nongradient (expanding or indefinite) Ricci almost soliton in a warped product. Moreover, we show a rigidity result for the Gaussian soliton.

Citations

• Homogeneous Ricci almost solitons
• Bounds on volume growth of geodesic balls for Einstein warped products
• On the classification of warped product Einstein metrics
• Rigidity of Quasi-Einstein Metrics
• Three-dimensional Ricci solitons which project to surfaces

Related

• Ricci almost solitons: complete examples
• On noncompact warped product Ricci solitons
• Homogeneous Ricci almost solitons
• Back to almost Ricci solitons
• Classification of base of warped product almost Ricci solitons