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arXiv · 2109.12284

Continuity and bi-Lipschitz properties of the Hurwitz and its invariant metrics

Arstu·Swadesh Kumar Sahoo
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Abstract

This paper attempts to study the continuity of the Hurwitz metric in arbitrary proper subdomains of the complex plane and to introduce a new invariant metric bi-Lipschitz equivalent to the Hurwitz metric in hyperbolic domains. The lower semi-continuity and other basic properties of this invariant metric are also presented.

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Arstu, Swadesh Kumar Sahoo. 2021-09-25. Continuity and bi-Lipschitz properties of the Hurwitz and its invariant metrics. https://arxiv.org/abs/2109.12284

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