拟脐超曲面中的稳定积分流

On stable integral currents in quasi umbilical hypersurfaces

设Ｎｎ是常曲率空间Ｍｎ＋１（ｃ）中的紧致拟脐超曲面．证明了在一些几何条件下，Ｎｎ中不存在ｐ－维稳定积分流，相应地，Ｎｎ的ｐ－维同调群消没．

Let N n be a compact quasi umbilical hypersurface immersed in a Riemannian manifold M n+1 (c) of constant curvature.It is proved that under some geometrical conditions,there exists no stable integral p current in N n and thus the homology group of N n vanishes.