Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2019; 34(4): 1303-1313

Online first article August 27, 2019      Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180390

Copyright © The Korean Mathematical Society.

Characterization of warped product submanifolds of Lorentzian concircular structure manifolds

Shyamal Kumar Hui, Tanumoy Pal, Laurian Ioan Piscoran

Golapbag, Burdwan -- 713104; Golapbag, Burdwan -- 713104; Department of Mathematics and Computer Science

Abstract

Recently Hui et al.~(\cite{HAP,HAN}) studied contact CR-warped product submanifolds and also warped product pseudo-slant submanifolds of a $(LCS)_n$-manifold $\overline{M}$. The characterization for both these classes of warped product submanifolds have been studied here. It is also shown that there do not exists any proper warped product bi-slant submanifold of a $(LCS)_n$-manifold. Although the existence of a bi-slant submanifold of $(LCS)_n$-manifold is ensured by an example.

Keywords: $(LCS)_n$-manifold, CR-submanifold, pseudo slant submanifold, bi-slant submanifold, warped product submanifold

MSC numbers: 53C15, 53C25, 53C40

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