局部对称共形平坦黎曼流形中的紧致子流形

On Compact Submanifolds in a Locally Symmetric and Conformally Flat Riemannian Manifold

中文关键词:  局部对称  共形平坦  平行平均曲率向量场  平坦法丛．

英文关键词:locally symmetric  conformally flat  parallel mean curvature vector  flat normal bundle.

中文摘要:

      本文讨论局部对称共形平坦黎曼流形中紧子流形问题．改进了［１］的结果并将［２］中关于球面子流形的一个结果推广到局部对称共形平坦黎曼流形子流形．

英文摘要:

      We improve the result in Li [1] and generalize a result on submanifolds in sphere to a locally symmetric and con formally flat Riemannian manifold.