application of hopf's lemma on contact cr-warped product submanifolds of a nearly kenmotsu manifold

نویسندگان

m. a. khan

‎department of mathematics, ‎university of tabuk‎, ‎kingdom of saudi arabia. f. r. al-solamy

‎department of mathematics, ‎king abdulaziz university, ‎p.o‎. ‎box 80015‎, ‎jeddah 21589‎, ‎kingdom of saudi arabia.

چکیده

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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bulletin of the iranian mathematical society

جلد ۴۳، شماره ۱، صفحات ۹۵-۱۰۷

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