Commun. Korean Math. Soc. 2018; 33(4): 1331-1339
Online first article July 6, 2018 Printed October 31, 2018
https://doi.org/10.4134/CKMS.c170400
Copyright © The Korean Mathematical Society.
Channabasappa Shanthappa Bagewadi, Dharmanaik Nirmala, Mallannara Siddalingappa Siddesha
Kuvempu University, Kuvempu University, New Horizon College of Engineering
In this paper the decomposition of basic equations of \scalebox{0.99}{$(LCS)_{n}$}-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
MSC numbers: 53D15, 53C20, 53C05
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