修正利玛窦流的特征值下限和分裂

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-03-07 DOI:10.1515/ans-2022-0083

Tobias Holck Colding, William P. Minicozzi II

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引用次数: 0

摘要

我们证明了修正利玛窦流的漂移拉普拉奇特征值的尖锐下界。修正利玛窦流是一个度量和加权体积的耦合方程组，在利玛窦流中发挥着重要作用。我们还将证明在相等的情况下存在分裂定理。

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Eigenvalue lower bounds and splitting for modified Ricci flow

We prove sharp lower bounds for eigenvalues of the drift Laplacian for a modified Ricci flow. The modified Ricci flow is a system of coupled equations for a metric and weighted volume that plays an important role in Ricci flow. We will also show that there is a splitting theorem in the case of equality.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.