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.
MSC numbers : 53C21, 53C44, 53C25.
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