Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical

Beatrice Brienza and Anna Fino

Mathematische Nachrichten, 2024, vol. 297, issue 12, 4705-4729

Abstract: In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 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 Kähler compact solvmanifolds.

Date: 2024
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https://doi.org/10.1002/mana.202400349

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:297:y:2024:i:12:p:4705-4729

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