Hyperbolic cone metrics and billiards

A negatively curved hyperbolic cone metric is called rigid if it is determined (up to isotopy) by the support of its Liouville current, and flexible otherwise. We provide a complete characterization of rigidity and flexibility, prove that rigidity is a generic property, and parameterize the associat...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Advances in mathematics (New York. 1965) 2022-11, Vol.409, p.108662, Article 108662
Hauptverfasser:	Erlandsson, Viveka, Leininger, Christopher J., Sadanand, Chandrika
Format:	Artikel
Sprache:	eng
Schlagworte:	Billiard Cone metric Geodesic current Hyperbolic Rigidity Surface
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!