Type II Singularities on complete non-compact Yamabe flow
Differential Geometry
2018-09-17 v1
Abstract
This work concerns with the existence and detailed asymptotic analysis of Type II singularities for solutions to complete non-compact conformally flat Yamabe flow with cylindrical behavior at infinity. We provide the specific blow-up rate of the maximum curvature and show that the solution converges, after blowing-up around the curvature maximum points, to a rotationally symmetric steady soliton. It is the first time that the steady soliton is shown to be a finite time singularity model of the Yamabe flow.
Cite
@article{arxiv.1809.05281,
title = {Type II Singularities on complete non-compact Yamabe flow},
author = {Beomjun Choi and Panagiota Daskalopoulos and John King},
journal= {arXiv preprint arXiv:1809.05281},
year = {2018}
}
Comments
36 pages, 2 figures