Diastolic and isoperimetric inequalities on surfaces

We prove a universal inequality between the diastole, defined using a minimax process on the one-cycle space, and the area of closed Riemannian surfaces. Roughly speaking, we show that any closed Riemannian surface can be swept out by a family of multi-loops whose lengths are bounded in terms of the...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2024-02
Hauptverfasser:	Balacheff, Florent, Sabourau, Stéphane
Format:	Artikel
Sprache:	eng
Schlagworte:	Diastole Geodesy Mathematics - Differential Geometry Mathematics - Geometric Topology Minimax technique Riemann surfaces Upper bounds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!