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arXiv · 2407.08757

Convergence rate of the $Q$-curvature flow

Pak Tung Ho·Sanghoon Lee
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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 $Q_6$-curvature flow in dimension 6, in constrast to the dimension 2 case, where the $Q$-curvature flow always converges exponentially.

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Pak Tung Ho, Sanghoon Lee. 2024-07-04. Convergence rate of the $Q$-curvature flow. https://arxiv.org/abs/2407.08757

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