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SEMI-INVARIANT SUBMANIFOLDS OF (LCS)<sub>n</sub>-MANIFOLD
Bagewadi, Channabasappa Shanthappa,Nirmala, Dharmanaik,Siddesha, Mallannara Siddalingappa Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.4
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.