2014/11/24 by J. N. Gomes, José N. V. Gomes, Gomes, J. N. +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG
paper · pdf · doi:10.48550/arxiv.1411.6416
9 pages. This is a revised version of the previous paper "h-almost Ricci soliton"
openalex publication_date 2014/11/24 · arxiv created 2015/05/03 · arxiv updated 2015/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the concept \it h-almost Ricci soliton which extends naturally the \it almost Ricci soliton by Pigola-Rigoli-Rimoldi-Setti and show that a compact nontrivial h-almost Ricci soliton of dimension no less than three with h having defined signal and constant scalar curvature is isometric to a standard sphere with the potential function well determined. We also consider the \it h-Ricci soliton which is a particular case of the h-almost Ricci soliton and a generalization of the \it Ricci soliton and give characterizations for a special class of gradient h-Ricci solitons.