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Periodic Points on Nilmanifolds
1981Shub and Sullivan [13] proves that every C1-map f : M → M of a compact smooth manifold has infinitely many periodic points if the Lefschetz numbers L(fk), k = 1,2,..., are unbounded. This is not generally true if f is a continuous map, and even if f is a homeo-morphism (see [11]).
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Rational sub-nilmanifolds of a compact nilmanifold
Ergodic Theory and Dynamical Systems, 2006openaire +1 more source
Dynamical Systems on Nilmanifolds
Bulletin of the London Mathematical Society, 1970openaire +1 more source
Translation-invariant subspaces inL 2 of a compact nilmanifold. I
Inventiones Mathematicae, 1973L Auslander
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Decomposition of the L 2 -Space of a General Compact Nilmanifold
American Journal of Mathematics, 1971Leonard F Richardson
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The fourier transform and the nilmanifold Γ\N
Lecture Notes in Mathematics, 1975Louis Auslander +2 more
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