In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformallyflatspace, and obtain some intrinsic rigidity theorems.
该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形，证明了这类子流形的某些内蕴刚性定理。
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This paper studies the Schouten tensor on the locally conformallyflat manifold, and gets some sufficient conditions for m to be the space of constant curvature, which improves the known results.