A note on Grayson's theorem

DOI10.4171/RSMUP/131-16zbMath1296.53133MaRDI QIDQ396505

Annibale Magni, Carlo Mantegazza

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

geometric measure theorycurve shortening flow

Mathematics Subject Classification ID

Related Items (3)

Evolution of spoon-shaped networks ⋮ The area preserving curve shortening flow with Neumann free boundary conditions ⋮ A survey of closed self-shrinkers with symmetry

Cites Work

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• Asymptotic behavior for singularities of the mean curvature flow
• Interior estimates for hypersurfaces moving by mean curvature
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinking convex plane curves
• Four-manifolds with positive curvature operator
• The heat equation shrinks embedded plane curves to round points
• Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
• A distance comparison principle for evolving curves
• A density function and the structure of singularities of the mean curvature flow
• A stable manifold theorem for the curve shortening equation
• The zero set of a solution of a parabolic equation.

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