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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2014; 54(4): 667-676

Published online December 23, 2014

Copyright © Kyungpook Mathematical Journal.

Slant Submanifolds of $(LCS)_{n}$-manifolds

Shiv Sharma Shukla1, Mukesh Kumar Shukla1, Rajendra Prasad2

1Department of Mathematics, University of Allahabad, Allahabad-211002, India
2Department of Mathematics and Astronomy, University of Lucknow, Lucknow 226007, India

Abstract

In this article, we study slant and semi-slant submanifolds of $(LCS)_{n}$-manifolds. Integrability conditions of distributions involved in definition of semi-slant submanifolds of a $(LCS)_{n}$-manifold have been obtained.

Keywords: $(LCS)_{n}$-manifold, slant submanifold, semi-slant submanifold