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Holonomy transformations for Lie subalgebroids
Communications in Analysis and Mechanics ( IF 0.8 ) Pub Date : 2021-08-06 , DOI: 10.3934/jgm.2021016
Marco Zambon

Given a foliation, there is a well-known notion of holonomy, which can be understood as an action that differentiates to the Bott connection on the normal bundle. We present an analogous notion for Lie subalgebroids, consisting of an effective action of the minimal integration of the Lie subalgebroid, and provide an explicit description in terms of conjugation by bisections. The construction is done in such a way that it easily extends to singular subalgebroids, which provide our main motivation.

中文翻译:

李子代数的完整变换

给定叶理,有一个众所周知的完整概念,可以将其理解为与法丛上的 Bott 连接不同的动作。我们提出了一个类似的李子代数概念,由李子代数最小积分的有效作用组成,并根据二等分的共轭提供了明确的描述。构建的方式很容易扩展到奇异的子代数,这提供了我们的主要动机。
更新日期:2021-08-06
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