Semi-invariant submanifolds of a Kenmotsu manifold with a generalized almost \(r\)-contact structure admitting a semi-symmetric metric connection
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DOI:
https://doi.org/10.26637/mjm403/009Abstract
We consider an almost \(r\)-contact Kenmotsu manifold admitting a semi-symmetric metric connection and study semi-invariant submanifolds of an almost \(r\)-contact Kenmotsu manifold endowed with a semi-symmetric meric connection. We obtain Gauss and Weingarten formuale for such a connection and also discuss the integrability conditions of the distributions on a generalized Kenmotsu manifold.
Keywords:
Kenmotsu manifolds, semi-invariant submanifolds, semi-symmetric metric connection, integrability conditions, parallel horizontal distribution, almost \(r\)-contact structuresMathematics Subject Classification:
53C40, 53C25- Pages: 421-429
- Date Published: 01-07-2016
- Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)
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