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math.RA2021★ 1 cited
Inequalities and limits of weighted spectral geometric mean
Luyining Gan, Tin-Yau Tam
We establish some new properties of spectral geometric mean. In particular, we prove a log majorization relation between and the $t…
math.RA2021
On two geometric means and sum of adjoint orbits
Luyining Gan, Xuhua Liu, Tin-Yau Tam
In this paper, we study the metric geometric mean introduced by Pusz and Woronowicz and the spectral geometric mean introduced by Fiedler and Pták, originally for positive definite…
math.DG2021
Curvature of matrix and reductive Lie groups
Luyining Gan, Ming Liao, Tin-Yau Tam
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 reduc…