Journal of Lie Theory

no. 2
Curvature of Matrix and Reductive Lie Groups
Journal of Lie Theory, Volume 30 (2020) no. 2, pp. 361-370
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.
DOI: 10.5802/jolt.1120
Classification: 53B20, 14L35, 51N30
Keywords: Curvature, general linear group, reductive Lie group, closed subgroup 
@article{JOLT_2020_30_2_a4,
     author = {L. Gan and M. Liao and T.-Y. Tam},
     title = {Curvature of {Matrix} and {Reductive} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {361--370},
     year = {2020},
     volume = {30},
     number = {2},
     doi = {10.5802/jolt.1120},
     zbl = {1440.53060},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1120/}
}
TY  - JOUR
AU  - L. Gan
AU  - M. Liao
AU  - T.-Y. Tam
TI  - Curvature of Matrix and Reductive Lie Groups
JO  - Journal of Lie Theory
PY  - 2020
SP  - 361
EP  - 370
VL  - 30
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1120/
DO  - 10.5802/jolt.1120
ID  - JOLT_2020_30_2_a4
ER  - 
%0 Journal Article
%A L. Gan
%A M. Liao
%A T.-Y. Tam
%T Curvature of Matrix and Reductive Lie Groups
%J Journal of Lie Theory
%D 2020
%P 361-370
%V 30
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1120/
%R 10.5802/jolt.1120
%F JOLT_2020_30_2_a4
L. Gan; M. Liao; T.-Y. Tam. Curvature of Matrix and Reductive Lie Groups. Journal of Lie Theory, Volume 30 (2020) no. 2, pp. 361-370. doi: 10.5802/jolt.1120

Cited by Sources: