5 citations · 14 across the 4 of their papers we have counts for
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New HKT manifolds arising from quaternionic representations
M. L. Barberis, A. Fino
We give a procedure for constructing an -dimensional HKT Lie algebra starting from a -dimensional one by using a quaternionic representation of the latter. The strong (resp…
Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
Maria Laura Barberis, Isabel G. Dotti, Misha Verbitsky
A nilmanifold is a quotient of a nilpotent group by a co-compact discrete subgroup. A complex nilmanifold is one which is equipped with a -invariant complex structure. We pr…
Lie bialgebras of complex type and associated Poisson Lie groups
A. Andrada, M. L. Barberis, G. Ovando
In this work we study a particular class of Lie bialgebras arising from Hermitian structures on Lie algebras such that the metric is ad-invariant. We will refer to them as Lie bial…
Hermitian structures on cotangent bundles of four dimensional solvable Lie groups
L. C. de Andrés, M. L. Barberis, I. Dotti +1
We study hermitian structures, with respect to the standard neutral metric on the cotangent bundle of a 2n-dimensional Lie group , which are left invariant with respect t…