Year: 2026
Type: preprint
Abstract: We show that for every conformal map $ϕ:\mathbb{D}\toΩ\subsetneq\mathbb{C}$ from the unit disk onto a simply connected proper domain $Ω$, the length of $ϕ^{-1}(Ω\cap L)$ is at most $π^2$ for every line $L$.
Source: arXiv (Cornell University)
Author: Ivanisvili, Paata
Institution: University of California, Irvine
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W7203495690
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