Abstract.
In this paper we study warped product CR-submanifolds in Kaehler manifolds and introduce the notion of CR-warped products. We prove several fundamental properties of CR-warped products in Kaehler manifolds and establish a general inequality for an arbitrary CR-warped product in an arbitrary Kaehler manifold. We then investigate CR-warped products in a general Kaehler manifold which satisfy the equality case of the inequality. Finally we classify CR-warped products in complex Euclidean space which satisfy the equality.
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(Received 24 August 2000; in revised form 19 February 2001)
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Chen, BY. Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds. Mh Math 133, 177–195 (2001). https://doi.org/10.1007/s006050170019
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DOI: https://doi.org/10.1007/s006050170019