Monotonicity formulas of eigenvalues and energy functionals along the rescaled List's extended Ricci flow
Monotonicity formulas of eigenvalues and energy functionals along the rescaled List's extended Ricci flow
复制标题
沿着重新缩放的 List 扩展 Ricci 流的特征值和能量泛函的单调性公式
DOI：
10.1007/s00009-018-1105-0
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发表时间：
2018
影响因子：
1.1
通讯作者：
Zhi Li
中科院分区：
文献类型：
--
作者：
Guangyue Huang;Zhi Li
本文研究了二阶弱耦合系统的重标度List推广Ricci流的Laplacian特征值和沿着熵的单调性公式，该流源于它与广义相对论的联系. motivation.to重新标度的List的扩展Ricci流是包含扩展的汉密尔顿规范化流的推广形式，它等价于List的扩展Ricci流，直到每次度量的位似重新标度。此外，我们还找到了Fk-泛函和Wk-泛函的自然熵，并证明了它们是单调的。
In this paper, we study monotonicity formulas of eigenvalues.of Laplacian and entropies along the rescaled List’s extended Ricci flow,.which is a weakly coupled system of second order and the motivation.to study this flow stems from its connection to general relativity. The.rescaled List’s extended Ricci flow, which is a generalized version including.the extended Hamilton normalized flow, is equivalent to the List’s.extended Ricci flow up to a homothetic rescale of the metric at each time..Moreover, we find natural entropies of Fk-functional and Wk-functional.and show that they are monotonic.