New type i ancient compact solutions of the Yamabe flow

Panagiota Daskalopoulos; Manuel Del Pino; John King; Natasa Sesum

doi:10.4310/MRL.2017.v24.n6.a5

New type i ancient compact solutions of the Yamabe flow

Panagiota Daskalopoulos, Manuel Del Pino, John King, Natasa Sesum

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (SciVal)

Abstract

We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. They are type I an-cient solutions.

Original language	English
Pages (from-to)	1667-1691
Number of pages	25
Journal	Mathematical Research Letters
Volume	24
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2017.v24.n6.a5
Publication status	Published - 29 Jan 2018

ASJC Scopus subject areas

General Mathematics

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10.4310/MRL.2017.v24.n6.a5

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title = "New type i ancient compact solutions of the Yamabe flow",

abstract = "We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. They are type I an-cient solutions.",

author = "Panagiota Daskalopoulos and {Del Pino}, Manuel and John King and Natasa Sesum",

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AU - Daskalopoulos, Panagiota

AU - Del Pino, Manuel

AU - King, John

AU - Sesum, Natasa

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Y1 - 2018/1/29

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AB - We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. They are type I an-cient solutions.

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U2 - 10.4310/MRL.2017.v24.n6.a5

DO - 10.4310/MRL.2017.v24.n6.a5

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JO - Mathematical Research Letters

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New type i ancient compact solutions of the Yamabe flow

Abstract

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