On the Existence of Global Bisections of Lie Groupoids

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dc.creatorChen, Z.
dc.creatorLiu, Z. -J.
dc.creatorZhong, D. -S.
dc.date2007-10-21
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:12Z
dc.date.available2026-07-07T09:52:12Z
dc.descriptionWe 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 points is also discussed. We give some interesting applications of these results.
dc.description17 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0710.3909
dc.identifierhttp://arxiv.org/abs/0710.3909
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165512
dc.subjectDifferential Geometry
dc.subject17B65; 18B40; 58H05
dc.titleOn the Existence of Global Bisections of Lie Groupoids
dc.typetext

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