Noncommutative Minimal Surfaces
Joakim Arnlind, Jaigyoung Choe, Jens Hoppe
TL;DR
This paper introduces noncommutative minimal surfaces within the Weyl algebra framework and generalizes the classical Weierstrass representation to construct these surfaces.
Contribution
It provides a novel definition and construction method for noncommutative minimal surfaces, extending classical differential geometry concepts to noncommutative algebra.
Findings
Defined noncommutative minimal surfaces in the Weyl algebra
Developed a generalized Weierstrass representation for construction
Established foundational methods for noncommutative differential geometry
Abstract
We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass-representation.
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