English

Convergence rate of the $Q$-curvature flow

Differential Geometry 2024-07-15 v1

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 QQ-curvature flow in this paper. In particular, we provide an example of a slowly converging Q6Q_6-curvature flow in dimension 6, in constrast to the dimension 2 case, where the QQ-curvature flow always converges exponentially.

Keywords

Cite

@article{arxiv.2407.08757,
  title  = {Convergence rate of the $Q$-curvature flow},
  author = {Pak Tung Ho and Sanghoon Lee},
  journal= {arXiv preprint arXiv:2407.08757},
  year   = {2024}
}

Comments

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