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.type | master thesis | |
| 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.type.coar | http://purl.org/coar/resource_type/c_bdcc | |
| dc.rights.accesslevel | openAccess | |
| dc.type.publication | masterThesis | |
| 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/ |
Aineistoon kuuluvat tiedostot
Aineisto kuuluu seuraaviin kokoelmiin
-
Pro gradu -tutkielmat [29740]
Ellei muuten mainita, aineiston lisenssi on In Copyright