Convergence rate of the Q-curvature flow

2024/07/04 by Ho, Pak Tung, Lee, Sanghoon
#35R01 #53C18 #53E99 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.08757

Abstract

Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study the convergence rate of the Q-curvature flow in this paper. In particular, we provide an example of a slowly converging Q₆-curvature flow in dimension 6, in constrast to the dimension 2 case, where the Q-curvature flow always converges exponentially.

Related

• Convergence rate of the prescribed curvature flow
• Convergence rate of the weighted Yamabe flow
• The rate of convergence of the mean curvature flow
• The Exponential Convergence of the CR Yamabe Flow
• The Prescribed Q-Curvature Flow for Arbitrary Even Dimension in a Critical Case