Evolution of Eigenvalues of a Geometric Operator Under Ricci Flow on a Riemannian Manifold

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

5-15-2022

Abstract

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.

Comments

© 2022 Elsevier Inc. All rights reserved. Original published version available at https://doi.org/10.1016/j.jmaa.2022.125990

Recommended Citation

Bracken, Paul. "Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold." Journal of Mathematical Analysis and Applications 509.2 (2022): 125990. https://doi.org/10.1016/j.jmaa.2022.125990

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2022.125990