Locally Helical Surfaces have bounded twisting

David Bachman; Ryan Derby-Talbot; Eric Sedgwick

doi:10.2140/pjm.2018.292.257

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arXiv · 1502.05646

Locally Helical Surfaces have bounded twisting

David Bachman·Ryan Derby-Talbot·Eric Sedgwick

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Abstract

A topologically minimal surface may be isotoped into a normal form with respect to a fixed triangulation. If the intersection with each tetrahedron is simply connected, then the pieces of this normal form are triangles, quadrilaterals, and helicoids. Helical pieces can have any number of positive or negative twists. We show here that the net twisting of the helical pieces of any such surface in a given triangulated 3-manifold is bounded.

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David Bachman, Ryan Derby-Talbot, Eric Sedgwick. 2015-02-19. Locally Helical Surfaces have bounded twisting. https://doi.org/10.2140/pjm.2018.292.257

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