Type I ancient compact solutions of the Yamabe flow. (May 2016)

• Record Type: Journal Article
• Authors: Daskalopoulos, Panagiota; del Pino, Manuel; King, John; Sesum, Natasa
• Is Part Of: Nonlinear analysis. Volume 137(2016)
• Page Start: 338
• Page End: 356
• Publication Date: 2016-05
• Subjects: Yamabe flow -- Fast diffusion -- Ancient solutions; 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.2015.12.005
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t → − ∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions.