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http://dx.doi.org/10.4134/CKMS.c210171

A NOTE ON STATIC MANIFOLDS AND ALMOST RICCI SOLITONS

Ahmadzadeh, Reihaneh (Department of Mathematics Faculty of Science Shahed University)
Ghahremani-Gol, Hajar (Department of Mathematics Faculty of Science Shahed University)

Publication Information

Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 631-634 More about this Journal

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;

Citations & Related Records

Reference

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