Yamabe flow: Steady solitons and Type II singularities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2018Embargo end date: 01 Jan 2017 English Publisher:Elsevier BVJournal:Nonlinear Analysis, volume 173, pages 1-18 (issn: 0362-546X,

Copyright policy )Funded by:NSF | Nonlinear parabolic equat...

Authors: Choi, Beomjun; Daskalopoulos, Panagiota;

doi: 10.1016/j.na.2018.03.008 , 10.48550/arxiv.1709.03192

arXiv: 1709.03192

Yamabe flow: Steady solitons and Type II singularities

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Abstract

We study the convergence of complete non-compact conformally flat solutions to the Yamabe flow to Yamabe steady solitons. We also prove the existence of Type II singularities which develop at either a finite time $T$ or as $t \to +\infty$.

Related Organizations

Columbia University
United States

Keywords

Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), Yamabe flow, FOS: Mathematics, 53C44, 35R01, singularities, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Analysis of PDEs (math.AP)

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