6 citations · 18 across the 5 of their papers we have counts for
5 papers
On seven dimensional quaternionic contact solvable Lie groups
Diego Conti, Marisa Fernández, José A. Santisteban
We answer in the affirmative a question posed by Ivanov and Vassilev on the existence of a seven dimensional quaternionic contact manifold with closed fundamental 4-form and non-va…
Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D
Luis C. de Andrés, Marisa Fernández, Stefan Ivanov +3
We present a simple explicit construction of hyper-Kaehler and hyper-symplectic (also known as neutral hyper-Kaehler or hyper-parakaehler) metrics in 4D using the Bianchi type grou…
Quaternionic Kaehler and Spin(7) metrics arising from quaternionic contact Einstein structures
Luis C. de Andrés, Marisa Fernández, Stefan Ivanov +3
We construct left invariant quaternionic contact (qc) structures on Lie groups with zero and non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor…
Solvable Lie algebras are not that hypo
Diego Conti, Marisa Fernandez, Jose A. Santisteban
We study a type of left-invariant structure on Lie groups, or equivalently on Lie algebras. We introduce obstructions to the existence of a hypo structure, namely the 5-dimensional…
Explicit Quaternionic Contact Structures and Metrics with Special Holonomy
Luis C. de Andres, Marisa Fernandez, Stefan Ivanov +3
We construct explicit left invariant quaternionic contact structures on Lie groups with zero and non-zero torsion, and with non-vanishing quaternionic contact conformal curvature t…