On local integration of Lie brackets

被引：10

作者：

Cabrera, Alejandro ^{[1
]}

Marcut, Ioan ^{[2
]}

Salazar, Maria Amelia ^{[3
]}

机构：

[1] Univ Fed Rio de Janeiro, Dept Matemat Aplicada, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, Brazil

[2] Radboud Univ Nijmegen, Dept Math, Heyendaalseweg 135, NL-6500 GL Nijmegen, Netherlands

[3] Univ Fed Fluminense, Inst Matemat & Estat, GMA, Rua Prof Marcos Waldemar de Freitas Reis S-N, BR-24210201 Niteroi, RJ, Brazil

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2020年 / 760卷

关键词：

LES GROUPOIDES DIFFERENTIABLES; THEORIE;

D O I：

10.1515/crelle-2018-0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a direct, explicit and self-contained construction of a local Lie groupoid integrating a given Lie algebroid which only depends on the choice of a spray vector field lifting the underlying anchor map. This construction leads to a complete account of local Lie theory and, in particular, to a finite-dimensional proof of the fact that the category of germs of local Lie groupoids is equivalent to that of Lie algebroids.

引用

页码：267 / 293

页数：27

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