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arXiv · 2407.02189

SKT solvable Lie algebras with codimension two nilradical

Beatrice Brienza·Anna Fino
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Abstract

In the present paper we study SKT and generalized K\"ahler structures on solvable Lie algebras with (not necessarily abelian) codimension two nilradical. We treat separately the case of $J$-invariant nilradical and non $J$-invariant nilradical. A classification of such SKT Lie algebras in dimension six is provided. In particular, we give a general construction to extend SKT nilpotent Lie algebras to SKT solvable Lie algebras of higher dimension, and we construct new examples of SKT and generalized K\"ahler compact solvmanifolds.

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Beatrice Brienza, Anna Fino. 2024-07-02. SKT solvable Lie algebras with codimension two nilradical. https://arxiv.org/abs/2407.02189

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