Topological singularities of generalized systoles
type: Item
instance of: scholarly article
title: Topological singularities of generalized systoles
zbMATH Open document ID: 1054.32006
DOI: 10.1016/S0040-9383(01)00024-6
author: Yanyan Li
published in: Topology
publication date: 2003-03-11T00:00:00Z
review text: Given an analytically finite Riemann surface (of hyperbolic type) \(S\) we have associated to it the minimal hyperbolic length of its closed geodesics, called the systole of \(S\). In this way, a map from the Teichmüller space of \(S\) is defined, the systole. In this paper the author proves that such a function is in fact a topological Morse function.
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 57R70
zbMATH DE Number: 1880015
zbMATH Keywords: Teichmüller space
zbMATH Keywords: geodesics
reviewed by: Rubén A. Hidalgo
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1880015