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math.DS2012
Affine Almost Automorphic Actions on Compact Nilmanifolds
S. G. Dani, Riddhi Shah, Puneet Sharma
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.
math.DS2002
Some two-step and three-step nilpotent Lie groups with small automorphism groups
S. G. Dani
We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are `small' in the sense of either not having a dense orbit for the action on the Li…