How large isotopy is needed to connect homotopic diffeomorphisms (of 𝕋2)

DOI10.1142/S1793525320500028zbMath1454.53077OpenAlexW2911435230MaRDI QIDQ5131459

Dmitri Burago, Jinpeng Lu, Tristan Ozuch

Publication date: 7 November 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525320500028

zbMATH Keywords

diffeomorphismregularityisotopycurve shortening flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Isotopy in differential topology (57R52) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
• Shortening embedded curves
• The fractal nature of Riem/Diff. I.
• Disconnectedness of sublevel sets of some Riemannian functionals
• Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow
• Nonlinear analytic semiflows
• Non‐recursive functions, knots “with thick ropes,” and self‐clenching “thick” hyperspheres
• Analytic semigroups and optimal regularity in parabolic problems

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