Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
Differential Geometry
2012-09-12 v2
Abstract
We introduce the notion of biconservative hypersurfaces, that is hypersurfaces with conservative stress-energy tensor with respect to the bienergy. We give the (local) classification of biconservative surfaces in 3-dimensional space forms.
Cite
@article{arxiv.1204.1484,
title = {Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor},
author = {R. Caddeo and S. Montaldo and C. Oniciuc and P. Piu},
journal= {arXiv preprint arXiv:1204.1484},
year = {2012}
}
Comments
Final version to appear in Ann. Mat. Pura Appl