A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space

Abhitosh Upadhyay; Nurettin Cenk Turgay

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arXiv · 1512.06339

A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space

Abhitosh Upadhyay·Nurettin Cenk Turgay

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Abstract

In this paper, we study biconservative hypersurfaces of index 2 in $\mathbb E^{5}_{2}$. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator at exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures.

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Abhitosh Upadhyay, Nurettin Cenk Turgay. 2015-12-20. A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space. https://arxiv.org/abs/1512.06339

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