application of hopf's lemma on contact cr-warped product submanifolds of a nearly kenmotsu manifold
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abstract
in this paper we consider contact cr-warped product submanifolds of the type $m = n_ttimes_f n_perp$, of a nearly kenmotsu generalized sasakian space form $bar m(f_1, f_2, f_3)$ and by use of hopf's lemma we show that $m$ is simply contact cr-product under certain condition. finally, we establish a sharp inequality for squared norm of the second fundamental form and equality case is discussed. the results in this paper generalize existing results in the literature.
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Journal title:
bulletin of the iranian mathematical societyجلد ۴۳، شماره ۱، صفحات ۹۵-۱۰۷
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