Timeline for Homogeneous metrics on compact Lie groups
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 18, 2022 at 11:27 | history | edited | emiliocba | CC BY-SA 4.0 |
some comments were added
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| Apr 13, 2022 at 12:52 | comment | added | Vitali Kapovitch | the map $G\to G$ given by $g\mapsto g^{-1}$ turns any left invariant metric into a right invariant one. | |
| Apr 13, 2022 at 9:59 | comment | added | emiliocba | As far as I understand, two non-isomorphic and diffeomorphic compact Lie groups share the same universal cover, which is again a compact Lie group. Since left-invariant metrics depends on the Lie algebra level, perhaps such counterexample does not exist. | |
| Apr 13, 2022 at 9:51 | comment | added | YCor | I guess that using that (see mathoverflow.net/q/67030/14094) there are non-isomorphic diffeomorphic compact Lie groups, it shouldn't be too hard to cook up counterexamples. | |
| Apr 13, 2022 at 9:42 | history | asked | emiliocba | CC BY-SA 4.0 |