A local regularity theorem for mean curvature flow with triple edges
A local regularity theorem for mean curvature flow with triple edges
Abstract Mean curvature flow of clusters of n -dimensional surfaces in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>ℝ</m:mi> <m:mrow> <m:mi>n</m:mi> <m:mo>+</m:mo> <m:mi>k</m:mi> </m:mrow> </m:msup> </m:math> {\mathbb{R}^{n+k}} that meet in triples at equal angles along smooth edges and higher order junctions on lower-dimensional faces is a natural extension of classical mean curvature flow. We …