Regular infinite dimensional Lie groups

Details Regular infinite dimensional Lie groups Regular infinite dimensional Lie groups

1998-01-02

arxiv.org/abs/math/9801007v1

J. Lie Theory, 7,1 (1997), 61--99

Mathematics

Differential Geometry

AmSTeX, using diag.tex with fonts lams?.ps, 38 pages

Scientific paper

Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolution operator' exists). Up to now all known smooth Lie groups are regular. We show in this paper that regular Lie groups allow to push surprisingly far the geometry of principal bundles: parallel transport exists and flat connections integrate to horizontal foliations as in finite dimensions. As consequences we obtain that Lie algebra homomorphisms intergrate to Lie group homomorphisms, if the source group is simply connected and the image group is regular.

Affiliated with

Also associated with

No associations

Rating

Regular infinite dimensional Lie groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regular infinite dimensional Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regular infinite dimensional Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196798