23 citations · 51 across the 15 of their papers we have counts for
6 papers · 1 filter
Anosov diffeomorphisms on infra-nilmanifolds associated to graphs
Jonas Deré, Meera Mainkar
Anosov diffeomorphisms on closed Riemannian manifolds are a type of dynamical systems exhibiting uniform hyperbolic behavior. Therefore their properties are intensively studied, in…
Characterization of 9-dimensional Anosov Lie algebras
Meera Mainkar, Cynthia E. Will
The classification of all real and rational Anosov Lie algebras up to dimension 8 is given by Lauret and Will. In this paper we study 9-dimensional Anosov Lie algebras by using the…
Anosov automorphisms on nilmanifolds in dimensions 9 and 10
Meera G. Mainkar, Cynthia E. Will
We study 9 and 10-dimensional Anosov Lie algebras, by using the properties of very special algebraic numbers. We classify k-step complex Anosov Lie algebras for and in the tw…
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…
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…
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…