论文标题
部分可观测时空混沌系统的无模型预测
Some canonical metrics {\em via} Aubin's local deformations
论文作者
论文摘要
在本文中,使用AUBIN引入的特殊度量变形,我们在每个紧凑的歧管上构建了满足Weyl Tensor的非呈现条件的Riemannian指标。特别是,在第四维度中,我们表明没有拓扑障碍对于存在非变化BACH张量的指标。
In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning the Weyl tensor, on every compact manifold. In particular, in dimension four, we show that there are no topological obstructions for the existence of metrics with non-vanishing Bach tensor.