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ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.1, pp.1-11
https://doi.org/10.7468/jksmeb.2011.18.1.001
Ahmad, Mobin
Jun, Jae-Bok
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Abstract

We define a quarter symmetric non-metric connection in a nearly Ken-motsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with a quarter symmetric non-metric connection. Moreover, we discuss the integrability of the distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a quarter symmetric non-metric connection.

keywords
semi-invariant submanifolds, nearly Kenmotsu manifolds, quarter symmetric non-metric connection, Gauss and Weingarten formula, integrability conditions, distributions

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics