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math.DS2020
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…
math.DG2020
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…
math.GR2020
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…