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arXiv · 2607.14577

Connections on Associative Varieties

Arvid Siqveland
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Abstract

We have embedded the category of smooth real $n$-manifolds faithfully into the category of associative varieties, \cite{S2603}. Many constructions on smooth manifolds can then be generalized to associative varieties. Here we will generalize the well known interpretation of connections on manifolds to connections on associative varieties. This eventually proves the existence of geodesics in an associative variety.

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Arvid Siqveland. 2026-07-16. Connections on Associative Varieties. https://arxiv.org/abs/2607.14577

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