Evolution of curves and surfaces by mean curvature

2002/12/01 by Brian White · 4 citations
Mathematics · #math.DG #msc:53C44

paper · pdf

published as Proceedings of the ICM, Beijing 2002, vol. 1, 525--538

arxiv created 2002/12/01 · arxiv updated 2009/12/01

Abstract

This article describes the mean curvature flow, some of the discoveries that have been made about it, and some unresolved questions.

Cited by

• Non-uniqueness in Mean Curvature Flow: Non-canonical solutions via the parabolic Allen--Cahn
• Mean curvature flow through singularities
• Geometric flow of planar domain-wall loops
• Backwards uniqueness for Mean curvature flow with asymptotically conical singularities

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• Lectures on mean curvature flow of surfaces
• Lectures on mean curvature flow
• Minimal surfaces and mean curvature flow
• Mean curvature flow in higher codimension - Introduction and survey
• The mean curvature flow of submanifolds of high codimension