Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2022; 37(4): 1171-1180

Online first article September 7, 2022      Printed October 31, 2022

https://doi.org/10.4134/CKMS.c210172

Copyright © The Korean Mathematical Society.

Notes on $(LCS)_n$-manifolds satisfying certain conditions

Shyam Kishor, Pushpendra Verma

University of Lucknow; University of Lucknow

Abstract

The object of the present paper is to study the properties of conharmonically flat $(LCS)_n$-manifold, special weakly Ricci symmetric and generalized Ricci recurrent $(LCS)_n$-manifold. The existence of such a manifold is ensured by non-trivial example.

Keywords: $(LCS)n$-manifold, conharmonic curvature tensor, generalized $\phi$-recurrent, special weakly Ricci symmetric and generalized Ricci recurrent Sasakian manifolds

MSC numbers: Primary 53C25, 53C35, 53D10