Sasaki流形的紧致超曲面

Compact Hypersurfaces of a Sasakian Manifold

用积分公式作为工具 ,研究了Sasaki流形和Sasaki空间形式的几种紧致可定向超曲面 ,得出了涉及超曲面、外围流形及其结构向量的一些几何性质 .

In this paper some compact orientable hypersurfaces of a Sasakian manifold and Sasakian space form are investigated. Some in tegral formulas for these hypersurfaces are deduced. From them, Some geometrical properties of hypersurfaces, ambient Sasakian manifold and its structure vector are obtained.