Singularities of the curve shortening flow in a Riemannian manifold

DOI10.1007/s10114-021-0395-5zbMath1484.53125OpenAlexW3217273080WikidataQ115385185 ScholiaQ115385185MaRDI QIDQ2063331

Shu Jing Pan

Publication date: 11 January 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-0395-5

zbMATH Keywords

blow-upsingularity formationcurve shortening flow

Mathematics Subject Classification ID

Geometric evolution equations (53E99) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Curve shortening makes convex curves circular
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• The shape of a figure-eight under the curve shortening flow
• Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
• Singularities of the curve shrinking flow for space curves
• Shortening embedded curves
• Legendrian curve shortening flow in \(\mathbb{R}^3\)
• Curve shortening in a Riemannian manifold
• Curve shortening flow in arbitrary dimensional Euclidean space

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