关于Ricci对称的黎曼流形的孤立性

On the Isolation Phenomena of Riemannian Manifold with Ricci Symmetry

使用P.Li的Sobolev不等式和Lp估计方法，研究Ricci对称的黎曼流形的量子化现象．证明了对于紧致的具有正数量曲率的Ricci对称的黎曼流形M，存在一个常数A，当M的保圆曲率张量的La/2模小于A时，M为常曲率空间．

By using the Sobolev inequalities of P. Li and L p estimate, we stuav the isolation phenomena of the compact Riemannian manifold M with the symmetric Ricci curvature tensor and the ositive scarlar curvature. It is shown that there is a constant A and that if n/2< A, where D is the concircular curvature tensor, then M is a constant sectional curvature space.