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Riemannian Warped Product Submersions

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Abstract

In this paper, we introduce Riemannian warped product submersions and construct examples and give fundamental geometric properties of such submersions. On the other hand, a necessary and sufficient condition for a Riemannian warped product submersion to be totally geodesic, totally umbilic and minimal is given.

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Acknowledgements

The authors are grateful to the referee for the valuable suggestions and comments towards the improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Engineering and Natural Sciences, Bursa Technical University, Bursa, Turkey

    İrem Küpeli Erken

  2. Department of Mathematics, Art and Science Faculty, Bursa Uludag University, 16059, Bursa, Turkey

    Cengizhan Murathan

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  1. İrem Küpeli Erken
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  2. Cengizhan Murathan
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Correspondence to Cengizhan Murathan.

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Küpeli Erken, İ., Murathan, C. Riemannian Warped Product Submersions. Results Math 76, 1 (2021). https://doi.org/10.1007/s00025-020-01310-4

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