24 citations · 27 across the 3 of their papers we have counts for
3 papers
math.DG2004★ 24 cited
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…
math.DG2004
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…
math.DS2004★ 3 cited
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…