Volume 15, issue 1 (2011)
Download this article
For screen
For printing
Recent Issues

Volume 17 (2013)
Issue 1 1–620
Issue 2 621–1252
Issue 3 1253–

Volume 16 (2012) 1–4

Volume 15 (2011) 1–4

Volume 14 (2010) 1–5

Volume 13 (2009) 1–5

Volume 12 (2008) 1–5

Volume 11 (2007)

Volume 10 (2006)

Volume 9 (2005)

Volume 8 (2004)

Volume 7 (2003)

Volume 6 (2002)

Volume 5 (2001)

Volume 4 (2000)

Volume 3 (1999)

Volume 2 (1998)

Volume 1 (1997)

G&T Monographs
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Totally nonsymplectic Anosov actions on tori and nilmanifolds

David Fisher, Boris Kalinin and Ralf Spatzier

Geometry & Topology 15 (2011) 191–216

DOI: 10.2140/gt.2011.15.191
Abstract

We show that totally nonsymplectic Anosov actions of higher rank abelian groups on tori and nilmanifolds with semisimple linearization are C∞–conjugate to actions by affine automorphisms.

Keywords

rigidity, smooth conjugacy, Anosov action, higher rank abelian group
Mathematical Subject Classification
References
Publication

Received: 29 March 2010
Accepted: 15 November 2010
Published: 30 January 2011
Proposed: Benson Farb
Seconded: Danny Calegari, Walter Neumann
Authors
David Fisher
Department of Mathematics
Indiana University
Rawles Hall
Bloomington IN 47405
USA
http://mypage.iu.edu/~fisherdm/
Boris Kalinin
Department of Mathematics and Statistics
University of South Alabama
Mobile AL 36688
USA
http://www.southalabama.edu/mathstat/personal_pages/kalinin/
Ralf Spatzier
Department of Mathematics
University of Michigan
2074 East Hall
530 Church Street
Ann Arbor MI 48109
USA
http://www.math.lsa.umich.edu/~spatzier/