A note on static manifolds and almost Ricci solitons
Commun. Korean Math. Soc. Published online December 27, 2021
Reihaneh Ahmadzadeh and 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.
