Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, II |
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Authors: | Bang-Yen Chen |
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Institution: | (1) Michigan State University, East Lansing, MI, USA, US |
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Abstract: | A CR-submanifold N of a Kaehler manifold is called a CR-warped product if N is the warped product of a holomorphic submanifold and a totally real submanifold of . This notion of CR-warped products was introduced in part I of this series. It was proved in part I that every CR-warped product in a Kaehler manifold satisfies a basic inequality: . The classification of CR-warped products in complex Euclidean space satisfying the equality case of the inequality is archived in part I. The main
purpose of this second part of this series is to classify CR-warped products in complex projective and complex hyperbolic spaces which satisfy the equality.
(Received 13 March 2001; in revised form 10 August 2001) |
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Keywords: | 2000 Mathematics Subject Classification: 53C40 53C42 53B25 |
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