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arXiv · 1610.01098

6-dimensional product Lie algebras admitting integrable complex structures

Andrzej Czarnecki·Marcin Sroka
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Abstract

We classify the 6-dimensional Lie algebras of the form $g\times g$ that admit integrable complex structure. We also endow a Lie algebra of the kind $o(n)\oplus o(n)$ with such a complex structure. The motivation comes from geometric structures \'a la Sasaki on $g$-manifolds.

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Andrzej Czarnecki, Marcin Sroka. 2016-10-04. 6-dimensional product Lie algebras admitting integrable complex structures. https://doi.org/10.1016/j.jpaa.2017.06.010

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