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20022004
most citedA unique representation of polyhedral types

24 citations · 34 across the 3 of their papers we have counts for

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Showing 2002Show all

2 papers · 1 filter

math.DG2002★ 8 cited

Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions

Alexander I. Bobenko, Tatyana V. Pavlyukevich, Boris A. Springborn

We present a global representation for surfaces in 3-dimensional hyperbolic space with constant mean curvature 1 (CMC-1 surfaces) in terms of holomorphic spinors. This is a modific…

math.GT2002

Variational principles for circle patterns and Koebe's theorem

Alexander I. Bobenko, Boris A. Springborn

We prove existence and uniqueness results for patterns of circles with prescribed intersection angles in constant curvature surfaces. Our method is based on two new functionals--on…