On invariant submanifolds of ( LCS ) n -manifolds
Hui, S. (2016). On invariant submanifolds of ( LCS ) n -manifolds. EKB Journal Management System, 24(2), 263-269. doi: 10.1016/j.joems.2015.05.008
Shyamal Kumar Hui. "On invariant submanifolds of ( LCS ) n -manifolds". EKB Journal Management System, 24, 2, 2016, 263-269. doi: 10.1016/j.joems.2015.05.008
Hui, S. (2016). 'On invariant submanifolds of ( LCS ) n -manifolds', EKB Journal Management System, 24(2), pp. 263-269. doi: 10.1016/j.joems.2015.05.008
Hui, S. On invariant submanifolds of ( LCS ) n -manifolds. EKB Journal Management System, 2016; 24(2): 263-269. doi: 10.1016/j.joems.2015.05.008

On invariant submanifolds of ( LCS ) n -manifolds

Journal of the Egyptian Mathematical Society
Volume 24, Issue 2, 2016, Page 263-269  XML PDF (432.43 K)
DOI: 10.1016/j.joems.2015.05.008
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Author
Shyamal Kumar Hui
Department of Mathematics, Sidho Kanho Birsha University, Purulia 723 104, West Bengal, India
Abstract
The object of the present paper is to study the invariant submanifolds of ( LCS ) n -
manifolds. We study semiparallel and 2-semiparallel invariant submanifolds of ( LCS ) n -manifolds.
Among others we study 3-dimensional invariant submanifolds of ( LCS ) n -manifolds. It is shown that
every 3-dimensional invariant submanifold of a ( LCS ) n -manifold is totally geodesic
Keywords
( LCS ) n -manifold; Invariant submanifold; Semiparallel submanifold; 2-semiparallel submanifold; Totally geodesic
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