Modulus of elementary domains in the hyperbolic plane
Ioannis D. Platis
TL;DR
This paper computes the modulus of curve families within hyperbolic quadrilaterals and annuli, advancing understanding of geometric function theory in hyperbolic spaces.
Contribution
It provides explicit calculations of the modulus for specific hyperbolic domains, which was previously not well-understood.
Findings
Calculated the modulus of curve families in hyperbolic quadrilaterals
Derived the modulus for hyperbolic annuli
Enhanced tools for geometric analysis in hyperbolic geometry
Abstract
We calculate the modulus of curve families inside a hyperbolic quadrilateral and a hyperbolic annulus.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Algebraic and Geometric Analysis