首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Values of Gauss maps of complete minimal surfaces in on annular ends
Authors:Lu Jin  Min Ru
Institution:Department of Mathematics, Fudan University, Shanghai, People's Republic of China ; Department of Mathematics, University of Houston, Houston, Texas 77204
Abstract:Let $ M$ be a complete minimal surface in $ {\mathbb{R}}^{m}$ and let $ A$ be an annular end of $ M$ which is conformal to $ \{z~\vert~ 0 < 1/r<\vert z\vert<r\}$, where $ z$ is the conformal coordinate. Let $ G$ be the generalized Gauss map of $ M$. We show that $ G(A)$ must intersect every hyperplane in $ {\mathbb{P}}^{m-1}({\mathbb{C}})$, with the possible exception of $ m(m+1)/2$ hyperplanes in general position.

Keywords:
点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号