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math.DG2011★ 6 cited
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…
math.DG2011
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…