Biharmonic Hypersurfaces in 4-Dimensional Space Forms
Differential Geometry
2007-09-14 v1
Abstract
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4-dimensional space forms.
Keywords
Cite
@article{arxiv.0709.2023,
title = {Biharmonic Hypersurfaces in 4-Dimensional Space Forms},
author = {A. Balmuş and S. Montaldo and C. Oniciuc},
journal= {arXiv preprint arXiv:0709.2023},
year = {2007}
}
Comments
10 pages