The co-Riemannian Structure of Smooth Loop Spaces

Details The co-Riemannian Structure of Smooth Loop Spaces The co-Riemannian Structure of Smooth Loop Spaces

2008-09-18

arxiv.org/abs/0809.3108v1

Mathematics

Differential Geometry

30 pages. Together with arXiv:0809.3401 this replaces math.DG/0505077

Scientific paper

We construct a natural co-Riemannian structure on the manifold of smooth
loops in a Riemannian manifold. We show that the smooth loop space of a string
manifold is a per-Hilbert-Schmidt locally equivalent co-spin manifold and thus
admits a Dirac operator.

Affiliated with

Also associated with

No associations

Rating

The co-Riemannian Structure of Smooth Loop Spaces 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 The co-Riemannian Structure of Smooth Loop Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The co-Riemannian Structure of Smooth Loop Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281116