Skip to main content
SpringerLink
Log in

Un processus effectif de détermination des systoles pour les surfaces hyperboliques

(An effective process of determination of systoles for hyperbolic surfaces)

  • Original Paper
  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

We give an effective process to discribe explicitly the systols of an hyperbolic surface depending on his Fenchel-Nielsen coordinates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Akrout H. (2003) Singularités topologiques des systoles généralisées. Topology 42, 291–308

    Article  MATH  MathSciNet  Google Scholar 

  2. Buser P., Silhol R.: Some remarks on the uniformizing function in genus 2. Geom. Dedicata. 115, (2005)

  3. Schmutz P. (1993) Riemann surfaces with shortest geodesic of maximal length, Geom. Funct. Anal. 3(6): 564–631

    Article  MATH  MathSciNet  Google Scholar 

  4. Schmutz Schaller P. (1999) Systoles and topological morse functions for riemann surfaces. J. Differential Geom, 52, 407–452

    MATH  MathSciNet  Google Scholar 

  5. Voronoï G. (1908) Nouvelles applications des paramètres continus à la théorie des formes quadratiques, J. Reine Angew. Math. 133, 97–178

    Google Scholar 

  6. Wolpert S. (1981) A elementary formula for the Fenchel–Nielsen twist, Comment. Math. Helv. 56, 132–135

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Géométrie, Topologie et Algébre U. M. R. 5030 C. N. R. S., Université des Sciences et Techniques du Languedoc, Montpellier II, Place Eugène Bataillon, 34095, Montpellier cedex 5, France

    Hugo Akrout

Authors
  1. Hugo Akrout
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hugo Akrout.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akrout, H. Un processus effectif de détermination des systoles pour les surfaces hyperboliques. Geom Dedicata 121, 1–8 (2006). https://doi.org/10.1007/s10711-006-9076-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10711-006-9076-x

Keywords

Mathematics subject classifications (2000)

Search

Navigation