Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

6-3-2022

Abstract

In this paper, the idea of the Ricci flow is introduced and its significance and importance to related problems in mathematics had been discussed. Several functionals are defined and their behavior is studied under Ricci flow. A unique minimizer is shown to exist for one of the functionals. This functional evaluated at the minimizer is strictly increasing. The results for the first functional considered are extended to manifold with boundary. Finally, two physically motivated examples are presented.

Comments

© 2022 World Scientific Publishing Co Pte Ltd. Original published version available at https://doi.org/10.1142/S0219887822501377.

Publication Title

International Journal of Geometric Methods in Modern Physics

DOI

10.1142/S0219887822501377

Available for download on Tuesday, June 06, 2023

Included in

Mathematics Commons

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