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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: [email protected]
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Abstract

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