局部对称空间中具有平行平均曲率向量的子流形

研究n+p维局部对称完备黎曼流形中具有平行平均曲 率向量的n维紧致子流形. 得到这类子流形关于第二基本形式模长的平方、 截面曲率拼挤及余维数减小的几个刚性定理， 将常曲率空间中的类似问题推广到局部对称空间.

On the Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space

The present paper deals with the compact submanifolds with paralled me an curvature in locally symmetric δ-Pinching Riemannian manifold, on the basis of which some theorems about the square of modulus-length, the pinch of section curvature and the reduction of codimension are obtained. The similar problems in the space of constant curvature are popularized in the space of local symmetry.