On non-positive Weyl connection on Lie groups

Tomasz Dudek; Aleksy Tralle

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arXiv · 2607.17210

On non-positive Weyl connection on Lie groups

Tomasz Dudek·Aleksy Tralle

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Abstract

The paper contributes to the problem of finding non-positive invariant Weyl connections on Lie groups. The main result is that in the case of completely solvable 3-dimensional Lie groups only the group SOL admits such connections, confirming the conjecture of Wojtkowski. We conjecture that our method can be extended to the general case of completely solvable Lie groups.

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Tomasz Dudek, Aleksy Tralle. 2026-07-19. On non-positive Weyl connection on Lie groups. https://arxiv.org/abs/2607.17210

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