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Parallel and semi-parallel hypersurfaces of \( \mathbb{S}^n \) × ℝ

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Abstract

We give a complete classification of totally umbilical, parallel and semi-parallel hypersurfaces of the Riemannian product space \( \mathbb{S}^n \) × ℝ.

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Correspondence to Joeri Van der Veken.

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The author is a postdoctoral researcher supported by the Research Foundation — Flanders (F.W.O.).

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Van der Veken, J., Vrancken, L. Parallel and semi-parallel hypersurfaces of \( \mathbb{S}^n \) × ℝ. Bull Braz Math Soc, New Series 39, 355–370 (2008). https://doi.org/10.1007/s00574-008-0010-8

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  • DOI: https://doi.org/10.1007/s00574-008-0010-8

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