Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold

被引：2

作者：

Bracken, Paul ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Edinburg, TX 78540 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 509卷 / 02期

关键词：

Manifold; Operators; Laplacian; Eigenvalues; Ricci flow; Riemannian;

D O I：

10.1016/j.jmaa.2022.125990

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The behavior of the eigenvalues of a geometric operator closely related to the Laplacian under Ricci flow is investigated. These depend on a coupling parameter in the operator as well as an evolution parameter which gives a flow on a compact manifold of finite dimension. The main objective is to study the monotonicity properties of the eigenvalues. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：6

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