Invariant metrics on lie groups : bi-invariance and one-parametre subgroups

Abstract
We show that an admissible left-invariant geodetic metric on a connected Lie group is bi-invariant if and only if every one-parametre subgroup t 7→ exp(tX) is a geodesic.
Main Author
Format
Theses Master thesis
Published
2022
Subjects
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202402201961Käytä tätä linkitykseen.
Language
English
License
In CopyrightOpen Access

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