Closed hypersurfaces of low entropy in \({\mathbb{R}^4}\) are isotopically trivial

DOI10.1215/00127094-2022-0012zbMath1500.53093arXiv2003.13858OpenAlexW4225478571MaRDI QIDQ2671456

Jacob Bernstein, Lu Wang

Publication date: 3 June 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13858

zbMATH Keywords

entropymean curvature flowcomparison theoremsisotopyself-shrinkerclosed hypersurfacesself-expanderBrakke flowGaussian surface area

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Variational methods for second-order elliptic equations (35J20) Isotopy in PL-topology (57Q37) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items

Ancient asymptotically cylindrical flows and applications, Multiplicity one for min-max theory in compact manifolds with boundary and its applications, Approximation of mean curvature flow with generic singularities by smooth flows with surgery

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