Averaging geometrical objects on a differentiable manifold
General Relativity and Quantum Cosmology
2015-05-18 v1
Abstract
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.
Cite
@article{arxiv.1003.2014,
title = {Averaging geometrical objects on a differentiable manifold},
author = {Johan Brannlund and Robert van den Hoogen and Alan Coley},
journal= {arXiv preprint arXiv:1003.2014},
year = {2015}
}