[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c190087

ON ALMOST QUASI RICCI SYMMETRIC MANIFOLDS

Kim, Jaeman (Department of Mathematics Education Kangwon National University)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.2, 2020 , pp. 603-611 More about this Journal

Abstract

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;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	A. L. Besse, Einstein Manifolds, Springer, Berlin, 1987.
2	J. Kim, On quasi Ricci symmetric manifolds, to appear in Korean J. Math.
3	C. A. Mantica and L. G. Molinari, Weakly Z-symmetric manifolds, Acta Math. Hungar. 135 (2012), no. 1-2, 80-96. https://doi.org/10.1007/s10474-011-0166-3 DOI