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 $Q_6$-curvature flow in dimension 6, in constrast to the dimension 2 case, where the $Q$-curvature flow always converges exponentially.

All comments welcome! arXiv admin note: substantial text overlap with arXiv:2107.09616, arXiv:2212.04367; substantial text overlap with arXiv:1401.3738 by other authors