黎曼流形中的平行曲率子流形

Parallel Curvature Submanifolds in Riemannian Manifold

在[1]中给出了黎曼流形中平行曲率超曲面的条件和某些性质,本文引入法联络,将[1]的结果可直接推广到黎曼流形的子流形上去。

Several propositions and conditions about parallel curvature hypersurface are obtained in(1),In this paper,we shall,by using normal connection,generalize this result to the submanifold in Riemannian manifold.