On the existence of global bisections of Lie groupoids

Authors
Zhong, De Shou Chen, Zhuo Liu, Zhang Ju
Citation
Zhong, De Shou et al., On the existence of global bisections of Lie groupoids, Acta mathematica Sinica. English series (Print) , 25(6), 2009, pp. 1001-1014
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
6
Year of publication
2009
Pages
1001 - 1014
Database
ACNP
SICI code
Abstract
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.