Affine Almost Automorphic Actions on Compact Nilmanifolds
S. G. Dani, Riddhi Shah, Puneet Sharma
TL;DR
This paper investigates the conditions that make affine automorphisms on compact nilmanifolds almost automorphic, analyzing their structure from a dynamical systems perspective.
Contribution
It provides new criteria and structural insights into affine almost automorphic actions on compact nilmanifolds, expanding understanding in this area.
Findings
Characterization of affine automorphisms that are almost automorphic
Structural description of such automorphisms
Dynamical properties related to these actions
Abstract
We discuss conditions under which an affine automorphism of a compact nilmanifold is almost automorphic, and the structure of such automorphisms from a dynamical point of view.
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