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arxiv: 1210.4574 · v1 · pith:SG37CXDVnew · submitted 2012-10-16 · 🧮 math.GT · math.DG

Normalizing Topologically Minimal Surfaces II: Disks

classification 🧮 math.GT math.DG
keywords normalminimaltopologicallyboundarycoldingdiskdiskseither
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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.

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