24 citations · 31 across the 5 of their papers we have counts for
6 papers
Minimal metrics on nilmanifolds
Jorge Lauret
A left invariant metric on a nilpotent Lie group is called minimal, if it minimizes the norm of the Ricci tensor among all left invariant metrics with the same scalar curvature. Su…
A canonical compatible metric for geometric structures on nilmanifolds
Jorge Lauret
Let (N,g) be a nilpotent Lie group endowed with an invariant geometric structure (cf. symplectic, complex, hypercomplex or any of their `almost' versions). We define a left invaria…
Anosov diffeomorphisms on nilmanifolds up to dimension 8
Jorge Lauret, Cynthia E. Will
After more than thirty years, the only known examples of Anosov diffeomorphisms are hyperbolic automorphisms of infranilmanifolds. It is also important to note that the existence o…
Geometric structures on nilpotent Lie groups: on their classification and a distinguished compatible metric
Jorge Lauret
Let N be a nilpotent Lie group and let S be an invariant geometric structure on N (cf. symplectic, complex or hypercomplex). We define a left invariant Riemannian metric on N compa…
On the moment map for the variety of Lie algebras
Jorge Lauret
Let V be the vector space of all skew-symmetric (non-associative) complex algebras of dimension n and L the algebraic subset of V of all Lie algebras. We consider the moment map fo…
Examples of Anosov diffeomorphisms
Jorge Lauret
We give a simple procedure to construct explicit examples of nilmanifolds admitting an Anosov diffeomorphism, and show that a reasonable classification up to homeomorphism (or even…