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Affine almost automorphic actions on compact nilmanifolds

Published online by Cambridge University Press:  05 August 2014

S. G. DANI ,
RIDDHI SHAH  and
PUNEET SHARMA
S. G. DANI
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India email [email protected]
RIDDHI SHAH
Affiliation:
School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India email [email protected]
PUNEET SHARMA
Affiliation:
COE - Systems Science, Indian Institute of Technology Jodhpur, Residency Road, Ratanada, Jodhpur 342 011, India email [email protected]
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Abstract

We discuss conditions under which an affine automorphism of a compact nilmanifold is almost automorphic, and the structure of such automorphisms from dynamical as well as algebraic points of view.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 6 , September 2015 , pp. 1783 - 1794
Copyright
© Cambridge University Press, 2014 

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