Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group

Details Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group

2006-04-06

arxiv.org/abs/math/0604142v2

Adv. Geom. 9 (2009) 605

Mathematics

Differential Geometry

19 pages, some motivation and neighboring topics added, improved main result to a relative formulation

Scientific paper

10.1515/ADVGEOM.2009.032

Let K be a a Lie group, modeled on a locally convex space, and M a finite-dimensional paracompact manifold with corners. We show that each continuous principal K-bundle over M is continuously equivalent to a smooth one and that two smooth principal K-bundles over M which are continuously equivalent are also smoothly equivalent. In the concluding section, we relate our results to neighboring topics.

Affiliated with

Also associated with

No associations

Rating

Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group 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 Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-721334