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On warped product immersions

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Abstract.

Warped product immersions appeared naturally in several recent studies. In this article we study fundamental geometric properties of such immersions. In addition we prove that every non-flat complex space form of complex dimension greater than one does not admit a warped product representation. As an application we obtain an improvement of an earlier result in [3] concerning warped products in real space forms.

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  1. Department of Mathematics, Michigan State University, East Lansing, Michigan, 48864-1027, USA

    Bang-Yen Chen

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  1. Bang-Yen Chen
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Correspondence to Bang-Yen Chen.

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Chen, BY. On warped product immersions. J. geom. 82, 36–49 (2005). https://doi.org/10.1007/s00022-005-1630-4

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  • DOI: https://doi.org/10.1007/s00022-005-1630-4

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