Normalizing Topologically Minimal Surfaces II: Disks

Abstract

We show that a topologically minimal disk in a tetrahedron with index $n$ is either a normal triangle, a normal quadrilateral, or a normal helicoid with boundary length 4(n+1). This mirrors geometric results of Colding and Minicozzi.

References in corpus (1)

• Normalizing Topologically Minimal Surfaces I: Global to Local Index

Cited by in corpus (2)

• Normalizing Topologically Minimal Surfaces I: Global to Local Index
• Normalizing Topologically Minimal Surfaces III: Bounded Combinatorics