Convergence rate of the prescribed curvature flow

TL;DR

This paper investigates how quickly the prescribed scalar curvature flow converges on manifolds, extending previous work on the Yamabe flow to a more general curvature flow setting.

Contribution

It provides new insights into the convergence rate of the prescribed scalar curvature flow, inspired by prior results on the Yamabe flow.

Findings

Established convergence rate estimates for the prescribed scalar curvature flow

Extended techniques from Yamabe flow analysis to more general curvature flows

Provided theoretical bounds on the speed of convergence

Abstract

The prescribed scalar curvature flow was introduced to study the problem of prescribing scalar curvature on manifolds. Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study in this paper the convergence rate of the prescribed scalar curvature flow.