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arXiv · 1003.2014

Averaging geometrical objects on a differentiable manifold

Johan Brannlund·Robert van den Hoogen·Alan Coley
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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 Weitzenböck connection for parallel transport and argue that, within the context of averaging, frames and connections are the natural geometrical objects on the manifold.

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Johan Brannlund, Robert van den Hoogen, Alan Coley. 2010-03-10. Averaging geometrical objects on a differentiable manifold. https://doi.org/10.1142/s0218271810018062

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