# Connections and Frame Bundle Reductions

@article{LachizeRey2020ConnectionsAF, title={Connections and Frame Bundle Reductions}, author={M. Lachi{\`e}ze‐Rey}, journal={arXiv: Mathematical Physics}, year={2020} }

In general relativity, the gravitational potential is represented by the Levi-Civita connection, the only symmetric connection preserving the metric. On a differentiable manifold, a metric identifies with an orthogonal structure, defined as a Lorentz reduction of the frame bundle. The Levi-Civita connection appears as the only symmetric connection preserving the reduction. This paper presents generalization of this process to other aproaches of gravitation: Weyl structure with Weyl connections… Expand

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