2 citations · 2 across the 1 of their papers we have counts for
6 papers
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…
Orthogonal bi-invariant complex structures on metric Lie algebras
Jonas Deré
This paper studies how many orthogonal bi-invariant complex structures exist on a metric Lie algebra over the real numbers. Recently, it was shown that irreducible Lie algebras whi…
Simply transitive NIL-affine actions of solvable Lie groups
Jonas Deré, Marcos Origlia
Every simply connected and connected solvable Lie group admits a simply transitive action on a nilpotent Lie group via affine transformations. Although the existence is gua…
A note on the structure of underlying Lie algebras
Jonas Deré
Every Lie algebra over a field gives rise to new Lie algebras over any subfield by restricting the scalar multiplication. This paper studies the structure of th…
On Ricci negative solvmanifolds and their nilradicals
Jonas Deré, Jorge Lauret
In the homogeneous case, the only curvature behavior which is still far from being understood is Ricci negative. In this paper, we study which nilpotent Lie algebras admit a Ricci…
Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms
Jonas Deré
In this paper, we study the periodic and eventually periodic points of affine infra-nilmanifold endomorphisms. On the one hand, we give a sufficient condition for a point of the in…