局部對稱空間中的最小超曲面

Abstract

一個ｎ維緊緻超曲面最小浸入一個(n+1)維局部對稱空間，吾人給予條件 使此浸入之第二基本式的長度平方為常數． Let M be an n-dimensional compact hypersurface which is minimally immersed in an (n+1)-dimensional locally symmetric space N. We give conditions such that the square of the length of the second fundamental form of this immersion is constant.