可解李群上的拉伸非正 Weyl 连接

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-14 DOI:10.1007/s10231-023-01409-9

Maciej Bocheński, Piotr Jastrzȩbski, Aleksy Tralle

引用次数: 0

摘要

我们确定了具有不变拉伸非正韦尔连接的可解李群的结构，并发现了允许和不允许这种连接的可解李群的类别。在维度 4 中，我们完全分类了接纳不变的 SNP Weyl 连接的可解李群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stretched non-positive Weyl connections on solvable Lie groups

We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting such connections. In dimension 4 we fully classify solvable Lie groups which admit invariant SNP Weyl connections.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.