2017/05/11 by Adara M. Blaga, Blaga, Adara M.
Mathematics · Physics and Astronomy · #53C21 #53C25 #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1705.04092
openalex publication_date 2017/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
If the potential vector field of an η-Ricci soliton is of gradient type, using Bochner formula, we derive from the soliton equation a Laplacian equation satisfied by the potential function f. In a particular case of irrotational potential vector field we prove that the soliton is completely determined by f. We give a way to construct a gradient η-Ricci soliton on a warped product manifold and show that if the base manifold is oriented, compact and of constant scalar curvature, the soliton on the product manifold gives a lower bound for its scalar curvature.