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

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

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.

Bibliographic Details
Main Author: Purho, Valto
Other Authors: Faculty of Sciences, Matemaattis-luonnontieteellinen tiedekunta, Department of Mathematics and Statistics, Matematiikan ja tilastotieteen laitos, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2022
Subjects:
Mathematics
Matematiikka
4041
matematiikka
Lien ryhmät
geometria
mathematics
Lie groups
geometry
Online Access: https://jyx.jyu.fi/handle/123456789/93493

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