局部螺旋曲面具有有界扭曲
Locally Helical Surfaces have bounded twisting
摘要:
一个拓扑极小曲面可以关于一个固定的三角剖分而被同构为一个标准形。如果与每个四面体的交集是单连通的,那么该范式的片段是三角形、四边形和螺旋面。螺旋件可以具有任意数量的正扭转或负扭转。我们在这里表明,在一个给定的三角形3-流形的任何这样的表面的螺旋片的净扭曲是有界的。
英文摘要:
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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