Averaging geometrical objects on a differentiable manifold

Details Averaging geometrical objects on a differentiable manifold Averaging geometrical objects on a differentiable manifold

2010-03-10

arxiv.org/abs/1003.2014v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We construct a framework within which a mathematically precise, fully
covariant, and exact averaging procedure for tensor fields on a manifold can be
formulated. In particular, we introduce the Weitzenb\"ock connection for
parallel transport and argue that, within the context of averaging, frames and
connections are the natural geometrical objects on the manifold.

Affiliated with

Also associated with

No associations

Rating

Averaging geometrical objects on a differentiable manifold 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 Averaging geometrical objects on a differentiable manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Averaging geometrical objects on a differentiable manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341159