黎曼流形中完备极小超曲面的端

摘要

本文研究了黎曼流形中完备非紧致非全测地极小超曲面的端。在一定的条件下，我们得出这种超曲面只有一个端。In this paper, we study the end of a complete noncompact non-totally geodesic minimal hypersurface. Under certain conditions, we obtain that the hypersurface has only one end.