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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2009; 46(3): 449-461

Printed May 1, 2009

https://doi.org/10.4134/JKMS.2009.46.3.449

Copyright © The Korean Mathematical Society.

Some results on $(LCS)_{n}$-manifolds

Absos Ali Shaikh

University of Burdwan

Abstract

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The object of the present paper is to study $(LCS)_{n}$-manifolds. Several interesting results on a $(LCS)_n$-manifold are obtained. Also the generalized Ricci recurrent $(LCS)_{n}$-manifolds are studied. The existence of such a manifold is ensured by several non-trivial new examples.

Keywords: $(LCS)_n$-manifold, conformally flat, generalized Ricci recurrent, $\eta$-Einstein, quasi constant curvature

MSC numbers: 53C15, 53C25

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