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This article is available for purchase or by subscription. See below.
Abstract
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We prove global existence of instantaneously complete Yamabe flows on hyperbolic space of
arbitrary dimension
starting from any smooth, conformally hyperbolic initial metric. We do not require
initial completeness or curvature bounds. With the same methods, we show rigidity
of hyperbolic space under the Yamabe flow.
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Keywords
Yamabe flow, instantaneously complete, unbounded curvature
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Mathematical Subject Classification 2010
Primary: 35A01, 35K55, 53C44
Secondary: 35A02, 35K65
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Milestones
Received: 17 December 2018
Accepted: 31 May 2019
Published: 27 July 2020
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