Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-14T22:34:14.776Z Has data issue: false hasContentIssue false
  • English
  • Français

Lefschetz formulae for Anosov flows on 3-manifolds

Published online by Cambridge University Press:  19 September 2008

Héctor Sánchez-Morgado
Héctor Sánchez-Morgado
Affiliation:
Institute de Matematicas, Universidad Nacional Autónoma de México, Ciudad Universitaria CP 04510, Mexico D.F., Mexico
Get accessRights & Permissions [Opens in a new window]

Abstract

Fried has related closed orbits of the geodesic flow of a surface S of constant negative curvature to the R-torsion for a unitary representation of the fundamental group of the unit tangent bundle T1S. In this paper we extend those results to transitive Anosov flows and 2-dimensional attractors on 3-manifolds.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 2 , June 1993, pp. 335 - 347
Copyright
Copyright © Cambridge University Press 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

[1]Bott, R. & Tu, L. W.. Differential Forms in Algebraic Topology, GTM 82. Springer, New York, 1981.Google Scholar
[2]Christy, J.. Branched surfaces and attractors I: dynamic branched surfaces.Google Scholar
[3]Fried, D.. Fuchsian groups and Reidemeister torsion. Contemp. Math. S3 (1986), 141–163.CrossRefGoogle Scholar
[4]Fried, D.. The zeta functions of Ruelle and Selberg I. Ann. Sci. ENS 19 (1986), 491–517.Google Scholar
[5]Fried, D.. Lefschetz formulae for flows. Contemp. Math. 58 (1987), 19–69.CrossRefGoogle Scholar
[6]Ratner, M.. Markov decomposition for a Y-flow on a three-dimensional manifold. Math. Notes 6 (1969), 880–886.CrossRefGoogle Scholar
[7]Ruelle, D.. Zeta functions for expanding maps and Anosov flows. Invent. Math. 34 (1976), 231–242.CrossRefGoogle Scholar