摘要
研究了局部对称的黎曼流形Nn+p中的紧致极小子流形Mn,推广了这类子流形中已有的结果,得到了与子流形的第二基本形式模长的平方σ有关的Pinching定理.
Compact minimal submanifold M^n in local symmetric Riemannian manifold N^n＋p is studied in this paper . Moreover existing result is extended in this submanifold, and therefore the pinching theorem about this submanifold with the square of the length of the second fundamemtal form σ is obtained.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2006年第3期215-217,共3页
Journal of Ningxia University(Natural Science Edition)
关键词
局部对称
极小子流形
全测地
locally symmetry
minimal submanifold
totally geodesic
