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On the existence of global bisections of Lie groupoids |
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| Authors: | De Shou Zhong Zhuo Chen Zhang Ju Liu |
| Affiliation: | (1) Center of Mathematics, China Youth University for Political Sciences, Beijing, 100089, P. R. China;(2) Department of Mathematics and LMAM, Peking University, Beijing, 100871, P. R. China |
| 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. Supported by NSFC (Grant No. 10871007) and CPSF (Grant No. 20060400017) |
| Keywords: | Lie groupoid bisection exponential map |
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