On invariant submanifolds of ( LCS ) n -manifolds | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 2, 2016, Pages 263-269 PDF (432.43 K) | ||
| DOI: 10.1016/j.joems.2015.05.008 | ||
| 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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