论文标题

奇异叶子的邻居

The neighbourhood of a singular leaf

论文作者

Laurent-Gengoux, Camille, Ryvkin, Leonid

论文摘要

常规叶子的重要结果是它们在简单连接的叶子附近正式的半本地琐事。我们将此结果扩展到了所有2个连接叶子和一类1连接的叶子的奇异叶子,通过证明其尸体式liebroid的半简单部分的半本地Levi-Malcev定理。

An important result for regular foliations is their formal semi-local triviality near simply connected leaves. We extend this result to singular foliations for all 2-connected leaves and a wide class of 1- connected leaves by proving a semi-local Levi-Malcev theorem for the semi-simple part of their holonomy Lie algebroid.

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