8 citations · 10 across the 3 of their papers we have counts for
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Computing Riemann Theta Functions
Bernard Deconinck, Matthias Heil, Alexander Bobenko +2
The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathemati…
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…
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…