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Normalizing Topologically Minimal Surfaces II: Disks

Geometric Topology 2012-10-18 v1 Differential Geometry

Abstract

We show that a topologically minimal disk in a tetrahedron with index nn 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.

Keywords

Cite

@article{arxiv.1210.4574,
  title  = {Normalizing Topologically Minimal Surfaces II: Disks},
  author = {David Bachman},
  journal= {arXiv preprint arXiv:1210.4574},
  year   = {2012}
}
R2 v1 2026-06-21T22:22:59.508Z