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On doubly warped product immersions

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Abstract

In this paper we study fundamental geometric properties of doubly warped product immersion which is an extension of warped product immersion. Moreover, we study geometric inequality for doubly warped products isometrically immersed in arbitrary Riemannian manifolds.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Tabriz, Tabriz, Iran

    Morteza Faghfouri & Ayyoub Majidi

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  1. Morteza Faghfouri
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  2. Ayyoub Majidi
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Correspondence to Morteza Faghfouri.

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Faghfouri, M., Majidi, A. On doubly warped product immersions. J. Geom. 106, 243–254 (2015). https://doi.org/10.1007/s00022-014-0245-z

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  • DOI: https://doi.org/10.1007/s00022-014-0245-z

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