23 citations · 51 across the 15 of their papers we have counts for
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math.DS2006
Anosov automorphisms on certain classes of nilmanifolds
Meera G. Mainkar
We give a necessary and sufficient condition for -step nilmanifolds associated with graphs to admit Anosov automorphisms. We also prove nonexistence of Anosov autom…
math.DS2006
Anosov Lie algebras and algebraic units in number fields
Meera G. Mainkar
We study nilmanifolds admitting Anosov automorphisms by applying elementary properties of algebraic units in number fields to the associated Anosov Lie algebras. We identify obstru…
math.DS2006
Examples of Anosov Lie Algebras
Meera G. Mainkar, Cynthia E. Will
We construct new families of examples of (real) Anosov Lie algebras starting with algebraic units. We also give examples of indecomposable Anosov Lie algebras (not a direct sum of…