Work

A new renormalized volume-type invariant

Year: 2024
Type: article
Abstract: We define a new conformal invariant on complete noncompact hyperbolic surfaces that can be conformally compactified to bounded domains in ‫.ރ‬We study and compute this invariant up to doubly connected surfaces.Our results give a new geometric criterion for choosing canonical representations of bounded domains in ‫.ރ‬ 1. Introduction 43 2. A technical tool 46 3. Doubly connected domains 48 4. Rigidity of doubly connected domains 51 Appendix 53
Author: Jinyang Wu
Institution: University of Iowa
Language: English
Open Access status: hybrid
OpenAlex ID: W4405902260
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Cites: 9
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