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Zbl 1109.53056
Al-Ghefari, Reem; Al-Solamy, Falleh R.; Shahid, Mohammed H.
Contact CR-warped product submanifolds in generalized Sasakian space forms. (English)
[J] Balkan J. Geom. Appl. 11, No. 2, 1-10 (2006). ISSN 1224-2780

Summary: In [Monatsh. Math. 133, 177--195 (2001; Zbl 0996.53044)] {\it B. Y. Chen} studied warped product CR-submanifolds in Kähler manifolds. Afterwards, {\it I. Hasegawa} and {\it 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, {\it P. Alegre, D. E. Blair} and {\it 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.

MSC 2000:: *53C40 Submanifolds (differential geometry)
53C15 Geometric structures on manifolds

Keywords: CR-submanifolds

Citations: Zbl 0996.53044; Zbl 1066.53103; Zbl 1064.53026

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