We consider paraKähler Lie algebras, that is, even-dimensional Lie algebras g equipped with a pair (J, g), where J is a paracomplex structure and g a pseudo-Riemannian metric, such that the fundamental 2-form Ω(X, Y) = g(X, JY) is symplectic. A complete classification is obtained in dimension four.
@article{bwmeta1.element.doi-10_1515_coma-2015-0001,
author = {Giovanni Calvaruso},
title = {A complete classification of four-dimensional paraK\"ahler Lie algebras},
journal = {Complex Manifolds},
volume = {2},
year = {2015},
zbl = {1334.53018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2015-0001}
}
Giovanni Calvaruso. A complete classification of four-dimensional paraKähler Lie algebras. Complex Manifolds, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2015-0001/
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