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Contact CR-warped product submanifolds in generalized Sasakian space forms. (English) Zbl 1109.53056
Summary: In [Monatsh. Math. 133, 177–195 (2001; Zbl 0996.53044)] B. Y. Chen studied warped product CR-submanifolds in Kähler manifolds. Afterwards, I. Hasegawa and I. Mihai [Geom. Dedicata 102, 143–150 (2003; Zbl 1066.53103)] obtained a sharp inequality for the squared norm of the second fundamental form for contact CR-warped products in Sasakian space forms. Recently, P. Alegre, D. E. Blair and A. Carriazo [Isr. J. Math. 141, 157–183 (2004; Zbl 1064.53026)] introduced generalized Sasakian space forms. The aim of the present paper is to study contact CR-warped product submanifolds in a generalized Sasakian space form.
53C40Global submanifolds (differential geometry)
53C15Differential geometric structures on manifolds