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

Catino, Giovanni, Dameno, Davide, Mastrolia, Paolo

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.

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