Notes on flat fronts in hyperbolic space
Juliette Dubois, Udo Hertrich-Jeromin, Gudrun Szewieczek
TL;DR
This paper introduces discrete flat fronts in hyperbolic space, providing a Weierstrass representation for them, which advances the understanding of their geometric structure.
Contribution
It establishes a Weierstrass representation for discrete flat fronts in hyperbolic space, a novel result in the discrete differential geometry field.
Findings
Discrete flat fronts in hyperbolic space are characterized.
A Weierstrass representation formula is derived for these fronts.
The work bridges discrete geometry with classical differential geometry concepts.
Abstract
We give a short introduction to discrete flat fronts in hyperbolic space and prove that any discrete flat front in the mixed area sense admits a Weierstrass representation.
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