A note on static manifolds and almost Ricci solitons
Commun. Korean Math. Soc. 2022 Vol. 37, No. 2, 631-634 https://doi.org/10.4134/CKMS.c210171 Published online April 12, 2022 Printed April 30, 2022
Reihaneh Ahmadzadeh, Hajar Ghahremani-Gol Shahed University; Shahed University
Abstract : In this short paper, we investigate the existence of non-trivial almost Ricci solitones on static manifolds. As a result we show any compact nontrivial static manifold is isometric to a Euclidean sphere.
Keywords : Almost Ricci solitons, constant scalar curvature, static manifolds
