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arXiv · 2108.00651

Curvature of matrix and reductive Lie groups

Luyining Gan·Ming Liao·Tin-Yau Tam
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Abstract

In this paper, we give a simple formula for sectional curvatures on the general linear group, which is also valid for many other matrix groups. Similar formula is given for a reductive Lie group. We also discuss the relation between commuting matrices and zero sectional curvature.

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Luyining Gan, Ming Liao, Tin-Yau Tam. 2021-08-02. Curvature of matrix and reductive Lie groups. https://arxiv.org/abs/2108.00651

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