Commun. Korean Math. Soc. 2020; 35(2): 603-611
Online first article November 25, 2019 Printed April 30, 2020
https://doi.org/10.4134/CKMS.c190087
Copyright © The Korean Mathematical Society.
Jaeman Kim
Kangwon National University
The purpose of this note is to introduce a type of Riemannian manifold called an almost quasi Ricci symmetric manifold and investigate the several properties of such a manifold on which some geometric conditions are imposed. And the existence of such a manifold is ensured by a proper example.
Keywords: Almost quasi Ricci symmetric manifolds, Einstein, Ricci-flat, quasi Ricci symmetric manifold, conformally flat, quasi-Einstein, a space of quasi-constant curvature, torse-forming vector field, product manifold, cyclic Ricci tensor, Codazzi type
MSC numbers: Primary 53A55, 53B20
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