Biharmonic tori in spheres
Differential Geometry
2016-10-18 v1
Abstract
We consider proper-biharmonic flat tori with constant mean curvature (CMC) in spheres and find necessary and sufficient conditions for certain rectangular tori and square tori to admit full CMC proper-biharmonic immersions in , as well as the explicit expressions of some of these immersions.
Keywords
Cite
@article{arxiv.1610.04976,
title = {Biharmonic tori in spheres},
author = {Dorel Fetcu and Eric Loubeau and Cezar Oniciuc},
journal= {arXiv preprint arXiv:1610.04976},
year = {2016}
}
Comments
16 pages