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Geometry of warped product CR-submanifolds in Kaehler manifolds. II. (English) Zbl 0996.53045
A CR-submanifold of a Kähler manifold is called a CR-warped product if it is given as a warped product of a holomorphic submanifold and a totally real submanifold. Let N T × f N be a CR-warped product in M ˜. Then the author proved in Part I [Monatsh. Math. 133, No. 3, 177-195 (2001; Zbl 0996.53044)] that the second fundamental form σ satisfies σ 2 2(dimN )(lnf) 2 and he studies the equality case when M ˜= n . The purpose of this Part II is to study the equality case for M ˜=P n and M ˜=H n .
Reviewer: K.Ogiue (Tokyo)

MSC:
53C55Hermitian and Kählerian manifolds (global differential geometry)
32V30Embeddings of CR manifolds
53C42Immersions (differential geometry)
53B25Local submanifolds
53C40Global submanifolds (differential geometry)