Coding of closed geodesics after gauss and morse

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Closed geodesics associated to conjugacy classes of hyperbolic matrices in SL(2, ℤ) can be coded in two different ways. The geometric code, with respect to a given fundamental region, is obtained by a construction universal for all Fuchsian groups, while the arithmetic code, given by '-' continued fractions, comes from the Gauss reduction theory and is specific for SL(2, ℤ). In this paper we give a complete description of all closed geodesics for which the two codes coincide.

Original languageEnglish (US)
Pages (from-to)123-145
Number of pages23
JournalGeometriae Dedicata
Volume63
Issue number2
DOIs
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Coding of closed geodesics after gauss and morse'. Together they form a unique fingerprint.

Cite this