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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.DG2002★ 4 cited
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…