强凯勒带扭转可解谎言数组的子维度 2 nilradical

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-10-15 DOI:10.1002/mana.202400349

Beatrice Brienza, Anna Fino

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引用次数: 0

摘要

本文研究了具有（不一定是阿贝尔的）余维2零根的可解李代数上的强Kähler带扭转结构（SKT）和广义Kähler结构。我们分别讨论了J$ J$不变零根和非J$ J$不变零根的情况。给出了此类6维SKT李代数的分类。特别地，我们给出了将SKT幂零李代数推广到更高维的SKT可解李代数的一般构造，并构造了SKT和广义Kähler紧解流形的新例子。

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Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical

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 $J$ -invariant nilradical and non- $J$ -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.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index