Asymptotic expansions of holonomy

Erlend Grong; Pierre Pansu

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arXiv · 1701.02570

Asymptotic expansions of holonomy

Erlend Grong·Pierre Pansu

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Abstract

Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian or sub-Riemannian structure. We are able to give an asymptotic formula that is independent of choice of gauge.

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Erlend Grong, Pierre Pansu. 2017-01-10. Asymptotic expansions of holonomy. https://arxiv.org/abs/1701.02570

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