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arXiv · 2004.04029

The canonical geometry of a Lie group

Ercument H. Ortacgil
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Abstract

A Lie group G has many left invariant metrics having drastically different curvature properties. If we regard G as a flat and globalizable absolute parallelism as in [O1], then G has a canonical metric. We study some surprising consequences of this shift in perspective.

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Ercument H. Ortacgil. 2020-04-08. The canonical geometry of a Lie group. https://arxiv.org/abs/2004.04029

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