科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let X denote a metric Lie group diffeomorphic to R-3 that admits an algebraic open book decomposition. In this article we prove that if Sigma is an immersed surface in X whose left invariant Gauss map is a diffeomorphism onto S-2, then Sigma is an embedded sphere. As a consequence, we deduce that any constant mean curvature sphere of index one in X is embedded.
- 出版日期2017-8
