Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical

被引：1

作者：

Brienza, Beatrice ^{[1
]}

Fino, Anna ^{[2
]}

机构：

[1] Univ Torino, Dipartimento Matemat G Peano, Turin, Italy

[2] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 12期

关键词：

generalized K & auml; hler structure; solvable lie algebra; SKT metric; COMPLEX STRUCTURES; KAHLER STRUCTURES; INVARIANT; MANIFOLDS; FORMS;

D O I：

10.1002/mana.202400349

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study strong K & auml;hler with torsion (SKT) and generalized K & auml;hler 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 K & auml;hler compact solvmanifolds.

引用

页码：4705 / 4729

页数：25

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