Outdated Archival Version

These pages are not updated anymore. They reflect the state of 20 August 2005. For the current production of this journal, please refer to http://www.math.psu.edu/era/.

This journal is archived by the American Mathematical Society. The master copy is available at http://www.ams.org/era/

This note announces a proof of the Hilbert--Smith conjecture in the quasiconformal case: A locally compact group $G$ of quasiconformal homeomorphisms acting effectively on a Riemannian manifold is a Lie group. The result established is true in somewhat more generality.

Copyright 1999 American Mathematical Society

TeX source (16K)
DVI (20K)
PostScript (100K)

Article Info

• ERA Amer. Math. Soc. 05 (1999), pp. 66-70
• Publisher Identifier: S 1079-6762(99)00062-1
• 1991 Mathematics Subject Classification. Primary 26A24, 30C60, 53A04, 54F65
• Key words and phrases.
• Received by the editors November 9, 1998
• Posted on May 28, 1999
• Communicated by Walter Neumann
• Comments (When Available)

Gaven J. Martin

Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand

E-mail address: martin@math.auckland.ac.nz