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

dc.contributor.advisor	Le Donne, Enrico
dc.contributor.advisor	Sebastiano, Nicolussi Golo
dc.contributor.author	Purho, Valto
dc.date.accessioned	2024-02-20T07:29:11Z
dc.date.available	2024-02-20T07:29:11Z
dc.date.issued	2022
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/93493
dc.description.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.	en
dc.format.extent	26
dc.language.iso	eng
dc.rights	In Copyright
dc.title	Invariant metrics on lie groups : bi-invariance and one-parametre subgroups
dc.identifier.urn	URN:NBN:fi:jyu-202402201961
dc.type.ontasot	Master’s thesis	en
dc.type.ontasot	Pro gradu -tutkielma	fi
dc.contributor.tiedekunta	Faculty of Sciences	en
dc.contributor.tiedekunta	Matemaattis-luonnontieteellinen tiedekunta	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.yliopisto	University of Jyväskylä	en
dc.contributor.yliopisto	Jyväskylän yliopisto	fi
dc.contributor.oppiaine	Mathematics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.rights.accesslevel	openAccess
dc.contributor.oppiainekoodi	4041
dc.subject.yso	matematiikka
dc.subject.yso	Lien ryhmät
dc.subject.yso	geometria
dc.subject.yso	mathematics
dc.subject.yso	Lie groups
dc.subject.yso	geometry
dc.rights.url	https://rightsstatements.org/page/InC/1.0/

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