Constant mean curvature spheres in homogeneous three-spheres
Differential Geometry
2013-08-15 v2
Abstract
We give a complete classification of the immersed constant mean curvature spheres in a three-sphere with an arbitrary homogenous metric, by proving that for each , there exists a constant mean curvature -sphere in the space that is unique up to an ambient isometry.
Keywords
Cite
@article{arxiv.1308.2612,
title = {Constant mean curvature spheres in homogeneous three-spheres},
author = {William H. Meeks and Pablo Mira and Joaquin Perez and Antonio Ros},
journal= {arXiv preprint arXiv:1308.2612},
year = {2013}
}
Comments
23 pages, 1 figure; corrected an entry in references list