8 citations · 53 across the 17 of their papers we have counts for
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math.DG2012★ 6 cited
Naturally reductive pseudo-Riemannian Lie groups in low dimensions
Viviana del Barco, Gabriela P. Ovando, Francisco Vittone
This work concerns the non-flat metrics on the Heisenberg Lie group of dimension three $\Heis_3(\RR)$ and the bi-invariant metrics on the solvable Lie groups of dimension four. On…
math.RA2012
Symplectic structures on nilmanifolds: an obstruction for its existence
Viviana J. del Barco
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology…
math.RA2012★ 1 cited
On a spectral sequence for the cohomology of a nilpotent Lie algebra
Viviana J. del Barco
Given a nilpotent Lie algebra we construct a spectral sequence which is derived from a filtration of its Chevalley-Eilenberg differential complex and converges to the…