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arXiv · 1809.05281

Type II Singularities on complete non-compact Yamabe flow

Beomjun Choi·Panagiota Daskalopoulos·John King
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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.

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Beomjun Choi, Panagiota Daskalopoulos, John King. 2018-09-14. Type II Singularities on complete non-compact Yamabe flow. https://arxiv.org/abs/1809.05281

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