On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay; Abhitosh Upadhyay

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arXiv · 1702.05469

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay·Abhitosh Upadhyay

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Abstract

In this paper, we study biconservative hypersurfaces in $\mathbb S^{n}$ and $\mathbb H^{n}$. Further, we obtain complete explicit classification of biconservative hypersurfaces in $4$-dimensional Riemannian space form with exactly three distinct principal curvatures.

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Nurettin Cenk Turgay, Abhitosh Upadhyay. 2017-02-17. On biconservative hypersurfaces in 4-dimensional Riemannian space forms. https://arxiv.org/abs/1702.05469

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