New type I ancient compact solutions of the Yamabe flow

Daskalopoulos, Panagiota and del Pino, Manuel and King, John and Sesum, Natasa (2017) New type I ancient compact solutions of the Yamabe flow. Mathematical Research Letters, 24 (6). pp. 1667-1691. ISSN 1945-001X

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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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/897144
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.4310/MRL.2017.v24.n6.a5
Depositing User: Eprints, Support
Date Deposited: 07 Mar 2018 14:16
Last Modified: 04 May 2020 19:19
URI: http://eprints.nottingham.ac.uk/id/eprint/50288

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