Curvature of matrix and reductive Lie groups

Published 2 Aug 2021 in math.DG, math.AG, and math.RT | (2108.00651v1)

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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