New type I ancient compact solutions of the Yamabe flow

Daskalopoulos, Panagiota; del Pino, Manuel; King, John; Sesum, Natasa

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.

• Journal Article Type: Article
• Acceptance Date: May 2, 2016
• Online Publication Date: Jan 29, 2018
• Publication Date: Nov 30, 2017
• Deposit Date: Mar 7, 2018
• Publicly Available Date: Mar 7, 2018
• Journal: Mathematical Research Letters
• Print ISSN: 1073-2780
• Electronic ISSN: 1945-001X
• Publisher: International Press
• Peer Reviewed: Peer Reviewed
• Volume: 24
• Issue: 6
• Pages: 1667-1691
• DOI: https://doi.org/10.4310/MRL.2017.v24.n6.a5
• Public URL: https://nottingham-repository.worktribe.com/output/897144
• Publisher URL: http://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0024/0006/a005/