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http://dx.doi.org/10.4134/CKMS.c170400

SEMI-INVARIANT SUBMANIFOLDS OF (LCS)n-MANIFOLD  

Bagewadi, Channabasappa Shanthappa (Department of Mathematics Kuvempu University)
Nirmala, Dharmanaik (Department of Mathematics Kuvempu University)
Siddesha, Mallannara Siddalingappa (Department of Mathematics New Horizon College of Engineering)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.4, 2018 , pp. 1331-1339 More about this Journal
Abstract
In this paper the decomposition of basic equations of $(LCS)_n$-manifolds is carried out into horizontal and vertical projections. Further, we study the integrability of the distributions $D,D{\oplus}[{\xi}]$ and $D^{\perp}$ totally geodesic of semi-invariant submanifolds of $(LCS)_n$-manifold.
Keywords
semi-invariant submanifold; $(LCS)_n$-manifold; totally umbilical and totally geodesic; integrability condition of distribution;
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