Quasihyperbolic Metric Universal Covers
David A. Herron, Gaven J. Martin
TL;DR
This paper proves that the universal cover of a quasihyperbolic planar domain, equipped with its natural metric, is a complete Hadamard space, providing a fundamental geometric insight.
Contribution
It offers a straightforward analytical proof establishing the universal cover's completeness and non-positive curvature properties in the quasihyperbolic setting.
Findings
Universal cover is a complete Hadamard space.
Provides a simple analytical proof.
Enhances understanding of quasihyperbolic geometry.
Abstract
We present a simple analytical proof that the natural metric universal cover of a quasihyperbolic planar domain is a complete Hadamard metric space.
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