Quantum and braided group Riemannian geometry

Details Quantum and braided group Riemannian geometry Quantum and braided group Riemannian geometry

1997-09-16

arxiv.org/abs/q-alg/9709025v1

Mathematics

Quantum Algebra

45 pages LATEX, some .eps figures in the appendix only

Scientific paper

We formulate quantum group Riemannian geometry as a gauge theory of quantum differential forms. We first develop (and slightly generalise) classical Riemannian geometry in a self-dual manner as a principal bundle frame resolution and a dual pair of canonical forms. The role of Levi-Civita connection is naturally generalised to connections with vanishing torsion and cotorsion, which we introduce. We then provide the corresponding quantum group and braided group formulations with the universal quantum differential calculus. We also give general constructions for examples, including quantum spheres and quantum planes.

Affiliated with

Also associated with

No associations

Rating

Quantum and braided group Riemannian geometry 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 Quantum and braided group Riemannian geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum and braided group Riemannian geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493451