Lower Bounds on Density for Topologically Nontrivial Minimal Cones up to Dimension Six

Abstract

We prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.

arXiv comment19 pages; 1 figure

References in corpus (4)

• A Topological Property of Asymptotically Conical Self-Shrinkers of Small Entropy
• Topological Change in Mean Convex Mean Curvature Flow
• Existence of monotone Morse flow lines of the expander functional
• Global regularity of integral 2-varifolds with square integrable mean curvature