局部对称黎曼流形中极小子流形

Minimal submanifolds in a locally symmetric Riemannian manifold

设Nn+p是截面曲率KN满足12<δ≤KN≤1的n+p维局部对称完备黎曼流形.M是Nn+p中n维紧致极小子流形.讨论了这类子流形关于Ricci曲率的一个pinching问题.

Let N^n＋p be a （n ＋ p ） - dimensional locally symmetric complete Riemannian manifold with sectional curvature KN such that 1/2 〈δ≤ KN ≤ 1, Let M be a n - dimensional compact minimal submanifold in N^n＋p.A pinching problem with respect to the Ricci curvature of M is discussed.