Function theoretic characterizations of Weil–Petersson curves

Christopher J. Bishop ^[1]
1. [1] Department of Mathematics, Stony Brook Universit
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº Extra 7, 2022 (Ejemplar dedicado a: Special issue in honor of Antonio Córdoba and José Luis Fernández), págs. 2355-2384
Idioma: inglés
DOI: 10.4171/RMI/1398
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Resumen
- The Weil–Petersson class is the closure of the smooth closed curves in the Weil–Petersson metric on universal Teichmüller space defined by Takhtajan and Teo. We give some new characterizations of this class of curves and some new proofs of previously known characterizations. In particular, we give a new, more geometric characterization of the conformal weldings of such curves and characterize the curves themselves in terms of Peter Jones’s β-numbers