This paper studies the Schouten tensor on the locally conformally flat manifold, and gets some sufficient conditions for m to be the spaceofconstantcurvature, which improves the known results.
At last the complete hypersurface with constant mean curvature in the quasi constantcurvaturespace is investigated, some characterization of totally umbilical hypersurfaces are obtained.
最后研究了常平均曲率完备超曲面,得到了这类超曲面全脐的一个结果。
3
Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given.