Skip to main content
Springer Nature Link
Log in

Isoscattering Schottky manifolds

  • Published:
Geometric & Functional Analysis GAFA Aims and scope Submit manuscript

Abstract.

We exhibit pairs of infinite-volume, hyperbolic three-manifolds that have the same scattering poles and conformally equivalent boundaries, but which are not isometric. The examples are constructed using Schottky groups and the Sunada construction.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Author information

Authors and Affiliations

  1. Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel, e-mail: rbrooks@techunix.technion.ac.il, , , , , , IL

    R. Brooks

  2. Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas 79409, USA, , , , , , IL

    R. Gornet

  3. Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027, USA, e-mail: perry@ms.uky.edu, , , , , , US

    P. Perry

Authors
  1. R. Brooks
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Gornet
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. Perry
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Submitted: October 1998, Final version: June 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brooks, R., Gornet, R. & Perry, P. Isoscattering Schottky manifolds . GAFA, Geom. funct. anal. 10, 307–326 (2000). https://doi.org/10.1007/s000390050010

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000390050010

Keywords

Search

Navigation