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math.DG2020
Two-step solvable SKT shears
Marco Freibert, Andrew Swann
We use the shear construction to construct and classify a wide range of two-step solvable Lie groups admitting a left-invariant SKT structure. We reduce this to a specification of…
math.DG2020
A non Ricci-flat Einstein pseudo-Riemannian metric on a 7-dimensional nilmanifold
Marisa Fernández, Marco Freibert, Jonatan Sánchez
We answer in the affirmative the question posed by Conti and Rossi on the existence of nilpotent Lie algebras of dimension 7 with an Einstein pseudo-metric of nonzero scalar curvat…