Notes on a slice distance for singular Lp-bundles

Details Notes on a slice distance for singular Lp-bundles Notes on a slice distance for singular Lp-bundles

2012-04-01

arxiv.org/abs/1204.0175v1

Mathematics

Differential Geometry

26 pages, 2 figures

Scientific paper

A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivi\`ere, where it was used to prove the closure of such class of bundles for the weak Lp-convergence. We further investigate this distance here, and we prove more properties of it, for example we show that it is H\"older-continuous on the slices. Using the same distance, we give here a notion of a boundary trace, giving a suitable setting for minimization problems on weak bundles. We then state some conjectures and some open questions.

Affiliated with

Also associated with

No associations

Rating

Notes on a slice distance for singular Lp-bundles 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 Notes on a slice distance for singular Lp-bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Notes on a slice distance for singular Lp-bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-552373