论文标题
CR几乎是Schur引理和阳性条件
The CR Almost Schur Lemma and the positivity conditions
论文作者
论文摘要
我们建立了一个新版本的CR几乎是Schur引理，该版本在紧凑的严格伪核Vexpseudohermitian歧管上估计了假辉硫代标量曲率，在某种态度的情况下，根据无缠结的Webster ricci Tensor和Pseudohermitian Torsion的态度，可以根据无缠结的韦伯斯特ricci tensor和pseudohermitian torsion的规范来估计。在无扭转的情况下，即，对于紧凑的萨萨基人歧管，我们的阳性条件与已知的状态一致，我们获得了更好的估计值
We establish a new version of the CR almost Schur Lemma which gives an estimation of the pseudohermitian scalar curvature on a compact strictly pseudoconvex pseudohermitian manifold to be a constant in terms of the norm of the traceless Webster Ricci tensor and the pseudohermitian torsion under a certain positivity condition. In the torsion-free case, i.e. for a compact Sasakian manifold, our positivity condition coincides with the known one and we obtain a better estimate
