arXiv:1906.07609 Abstract | arXiv Analytics

arXiv:1906.07609 [math.DG]Abstract References Reviews Resources

Entropy and codimension bounds for generic singularities

Tobias Holck Colding, William P. Minicozzi II

Published 2019-06-18Version 1

We show that all closed $2$-dimensional singularities for higher codimension mean curvature flow that cannot be perturbed away have uniform entropy bounds and lie in a linear subspace of small dimension. The entropy and dimension of the subspace are both $\leq C\,(1+\gamma)$ for some universal constant $C$ and genus $\gamma$.

Categories: math.DG, math.AP, math.GT, math.SP

Keywords: generic singularities, codimension bounds, higher codimension mean curvature flow, uniform entropy bounds, universal constant

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