A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space
Differential Geometry
2016-09-07 v3
Abstract
In this paper, we study biconservative hypersurfaces of index 2 in . 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.
Keywords
Cite
@article{arxiv.1512.06339,
title = {A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space},
author = {Abhitosh Upadhyay and Nurettin Cenk Turgay},
journal= {arXiv preprint arXiv:1512.06339},
year = {2016}
}