S^3 中指定平均曲率的球面
微分几何
2012-04-26 v2
摘要
我们证明了关于将二维球面共形嵌入到标准三维球面 S^3(1) 且具有指定平均曲率的存在性的半全局结果。
引用
@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}
}
备注
This article is being withdrawn. 1) More general results are now proved in arXiv:1204.5225. 2) As pointed out to me by Jose Espinar (thanks Jose), the area bound proof in reference [11] by Ho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