A short proof of monotonicity formula for curve shortening flow in 3D
Hayk Mikayelyan
TL;DR
This paper provides an elementary proof of a Huisken-type monotonicity formula specifically for the curve shortening flow in three-dimensional space, simplifying previous approaches.
Contribution
It introduces a straightforward proof of the monotonicity formula for 3D curve shortening flow, making the concept more accessible.
Findings
Elementary proof of monotonicity formula in 3D
Simplifies understanding of curve shortening flow
Potentially aids in analyzing singularities
Abstract
We give a rather elementary proof of a Huisken-type monotonicity formula for curve shortening flow in 3D.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Geometry and complex manifolds