Yamabe flow: Steady solitons and Type II singularities. (August 2018)

• Record Type: Journal Article
• Authors: Choi, Beomjun; Daskalopoulos, Panagiota
• Is Part Of: Nonlinear analysis. Volume 173(2018)
• Page Start: 1
• Page End: 18
• Publication Date: 2018-08
• Subjects: Yamabe flow -- Singularities; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.03.008
• Languages: English
• ISSNs: 0362-546X

Abstract

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 → + ∞ .