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master's thesis
Thurstonove geometrije
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:755484
Kilassa Kvaternik, Kristijan
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Kilassa Kvaternik, K. (2016). Thurstonove geometrije (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:755484

Kilassa Kvaternik, Kristijan. "Thurstonove geometrije." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:755484

Kilassa Kvaternik, Kristijan. "Thurstonove geometrije." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:755484

Kilassa Kvaternik, K. (2016). 'Thurstonove geometrije', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:755484

Kilassa Kvaternik K. Thurstonove geometrije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:755484

K. Kilassa Kvaternik, "Thurstonove geometrije", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:755484

Metadata
TitleThurstonove geometrije
AuthorKristijan Kilassa Kvaternik
MentorŽeljka Milin-Šipuš (mentor)
Committee memberŽeljka Milin-Šipuš (predsjednik povjerenstva)
Committee memberBoris Širola (član povjerenstva)
Committee memberPavle Pandžić (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Na početku ovog rada definiramo osnovne pojmove potrebne za razumijevanje Thurstonovih geometrija: pojmove Riemannove mnogostrukosti i geometrijske strukture. Nakon toga dajemo kratki pregled geometrijskih struktura u 2 i 3 dimenzije te opisujemo svih 8 Thurstonovih geometrija. U dvjema od tih geometrija, Sol i Nil, određujemo neke klase krivulja i ploha (geodetske i translacijske krivulje te minimalne translacijske plohe).
Abstract (english)
At the beginning of this thesis we define basic notions necessary for understanding Thurston geometries: the notion of Riemannian manifold and geometric structure. After that we give a short review of all geometric structures in 2 and 3 dimensions and describe all of 8 Thurston geometries. In two of them, Sol and Nil, we determine some classes of curves and surfaces (geodesics, translation curves and minimal translation surfaces).
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:755484
Study programmeTitle: Pure Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-08 12:11:46