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Abstract
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We construct eternal mean curvature flows of tori in perturbations of the standard unit sphere
. This has
applications to the study of the Morse homologies of area functionals over the space of embedded
tori in
.
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Keywords
eternal mean curvature flows, singular perturbation, Morse
homology
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Mathematical Subject Classification
Primary: 53E10
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Milestones
Received: 3 June 2020
Revised: 30 November 2021
Accepted: 12 December 2021
Published: 15 February 2023
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