On the Existence of Global Bisections of Lie Groupoids 被引量：2

On the Existence of Global Bisections of Lie Groupoids

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摘要 We show that every source connected Lie groupoid always has global bisections through any given point. This bisection can be chosen to be the multiplication of some exponentials as close as possible to a prescribed curve. The existence of bisections through more than one prescribed point is also discussed. We give some interesting applications of these results. We show that every source connected Lie groupoid always has global bisections through any given point. This bisection can be chosen to be the multiplication of some exponentials as close as possible to a prescribed curve. The existence of bisections through more than one prescribed point is also discussed. We give some interesting applications of these results.

作者 De Shou ZHONG Zhuo CHEN Zhang Ju LIU

机构地区 Center of Mathematics Department of Mathematics and LMAM

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第6期1001-1014,共14页 数学学报（英文版）

基金 NSFC(Grant No.10871007) CPSF(Grant No.20060400017)

关键词 Lie groupoid BISECTION exponential mad Lie groupoid, bisection, exponential mad

分类号 O186.1 [理学—基础数学] O174 [理学—基础数学]

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1陈酌,贺龙光,钟德寿.On Polynomial Representations of Lie Algebras[J].Northeastern Mathematical Journal,2006,22(3):335-348. 被引量：2

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Acta Mathematica Sinica,English Series

2009年第6期

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On the Existence of Global Bisections of Lie Groupoids 被引量：2

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