Hostname: page-component-7f64f4797f-fz5kh Total loading time: 0 Render date: 2025-11-04T04:25:22.102Z Has data issue: false hasContentIssue false
  • English
  • Français

ANOSOV AUTOMORPHISMS ON CERTAIN CLASSES OF NILMANIFOLDS

Published online by Cambridge University Press:  24 March 2006

MEERA G. MAINKAR
MEERA G. MAINKAR
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400 005, India e-mail: meera@math.tifr.res.in
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give a necessary and sufficient condition for $k$-step nilmanifolds associated with graphs $(k \geq 3)$ to admit Anosov automorphisms. We also prove the nonexistence of Anosov automorphisms on certain classes of 2-step and 3-step nilmanifolds.

Keywords

Primary 37D20Secondary 22E25

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 161 - 170
Copyright
2006 Glasgow Mathematical Journal Trust