CURVE SHORTENING FLOWS ON ROTATIONAL SURFACES GENERATED BY MONOTONE CONVEX FUNCTIONS

DOI10.2206/KYUSHUJM.77.179zbMath1528.53089arXiv2202.09956OpenAlexW4387656445MaRDI QIDQ6070599

Unnamed Author

Publication date: 23 November 2023

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09956

zbMATH Keywords

curve shortening flowrotational surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Flows related to mean curvature (53E10)

Cites Work

• Lecture notes on mean curvature flow
• Volume preserving mean curvature flow of revolution hypersurfaces between two equidistants
• Interior estimates for hypersurfaces moving by mean curvature
• Volume-preserving mean curvature flow of revolution hypersurfaces in a rotationally symmetric space
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• The heat equation shrinking convex plane curves
• Four-manifolds with positive curvature operator
• The heat equation shrinks embedded plane curves to round points
• Shortening embedded curves
• Curve shortening in a Riemannian manifold
• Curve shortening on surfaces
• Curve shortening flows in warped product manifolds

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