拟常曲率黎曼流形中具有平行平均曲率向量场的完备子流形

COMPLETE SUBMANIFOLDS IN QUASI-CONSTANT CURVATURE RIEMANNIAN MANIFOLD WITH PARALLE MEAN CURVATURE

本文将常曲率流形的子流形的两个定理推广到拟常曲率外围流形的情形,得到了全脐的一个充分条件.

We generalize the two theorems of submanifolds in constant curvature manifolds to the external sphere mani-folds in quasi-constant curvature.