Spheres of prescribed mean curvature in S^3
Differential Geometry
2012-04-26 v2
Abstract
We prove a semi-global result on the existence of conformal embeddings of the two-sphere into the round three-sphere S^3(1) with prescribed mean curvature.
Keywords
Cite
@article{arxiv.1109.5737,
title = {Spheres of prescribed mean curvature in S^3},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:1109.5737},
year = {2012}
}
Comments
This article is being withdrawn. 1) More general results are now proved in arXiv:1204.5225. 2) As pointed out to me by Jose Espinar (thanks Jose), the area bound proof in reference [11] by Ho is incorrect, which affects the proof of the main result here