Commun. Korean Math. Soc. 2022; 37(2): 631-634
Online first article April 12, 2022 Printed April 30, 2022
https://doi.org/10.4134/CKMS.c210171
Copyright © The Korean Mathematical Society.
Reihaneh Ahmadzadeh, Hajar Ghahremani-Gol
Shahed University; Shahed University
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
2021; 36(1): 165-171
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