Integral formulas in $h$-Almost Ricci-Bourguignon solitons
Differential Geometry
2025-05-06 v1
Abstract
The aim of this paper is to investigate some integral formulas for compact gradient -almost Ricci-Bourguignon solitons. Consequently, we generalize the results previously ob tained for Ricci almost solitons. Moreover, we prove that a compact, non-trivial -almost Ricci-Bourguignon soliton with dimension greater than or equal to 3 is isometric to a Euclidean sphere, provided either the potential vector field is conformal or its scalar curvature is constant. Finally, we generalize the integral formula for compact h-almost Ricci-Bourguignon.
Keywords
Cite
@article{arxiv.2505.02193,
title = {Integral formulas in $h$-Almost Ricci-Bourguignon solitons},
author = {Abdou Bousso and Moctar Traore and Ameth Ndiaye},
journal= {arXiv preprint arXiv:2505.02193},
year = {2025}
}