Convergence rate of the Q-curvature flow

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.

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