2 citations · 2 across the 4 of their papers we have counts for
6 papers · 1 filter
Compatibility of balanced and SKT metrics on two-step solvable Lie groups
Marco Freibert, Andrew Swann
It has been conjectured by Fino and Vezzoni that a compact complex manifold admitting both a compatible SKT and a compatible balanced metric also admits a compatible Kähler metric.…
Closed -eigenforms and exact -structures
Marco Freibert, Simon Salamon
A study is made of left-invariant -structures with an exact 3-form on a Lie group whose Lie algebra admits a codimension-one nilpotent ideal $\math…
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…
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…
Homogeneous spinor flow
Marco Freibert, Lothar Schiemanowski, Hartmut Weiss
We study the spinor flow on homogeneous spin manifolds. After providing the general setup we discuss the homogeneous spinor flow in dimension 3 and on almost abelian Lie groups in…
The shear construction
Marco Freibert, Andrew Swann
The twist construction is a method to build new interesting examples of geometric structures with torus symmetry from well-known ones. In fact it can be used to construct arbitrary…