Mean curvature flow with multiplicity 2 convergence in manifolds

Abstract We construct new examples of immortal mean curvature flow of smooth embedded connected hypersurfaces in manifolds, which converge to minimal hypersurfaces with multiplicity 2 as time approaches infinity.

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Publication Details

Journal
Mathematische Annalen
Published
2025-04-03
DOI
https://doi.org/10.1007/s00208-025-03147-0
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

Mean curvature flow with multiplicity 2 convergence in manifolds

Ao Sun, Jingwen Chen
Mathematische Annalen
Geometric Analysis and Curvature Flows
article

Mean curvature flow with multiplicity 2 convergence in manifolds

Ao Sun, Jingwen Chen
article en

Abstract

Abstract We construct new examples of immortal mean curvature flow of smooth embedded connected hypersurfaces in manifolds, which converge to minimal hypersurfaces with multiplicity 2 as time approaches infinity.

Mathematische AnnalenVol. 392(2)
Lehigh University (US), University of Pennsylvania (US)
Openalex Percentile: Top 90%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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Mean curvature flow with multiplicity 2 convergence in manifolds — Ao Sun, Jingwen Chen · Mathematische Annalen (2025) | TGRS Research Map | TGRS