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master's thesis
Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:506214
Devald, Davor
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Devald, D. (2017). Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:506214

Devald, Davor. "Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:506214

Devald, Davor. "Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:506214

Devald, D. (2017). 'Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:506214

Devald D. Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:506214

D. Devald, "Plohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:506214

Metadata
TitlePlohe konstantne srednje zakrivljenosti u Minkowskijevom prostoru
AuthorDavor Devald
MentorŽeljka Milin-Šipuš (mentor)
Committee memberŽeljka Milin-Šipuš (predsjednik povjerenstva)
Committee memberIlja Gogić (član povjerenstva)
Committee memberOzren Perše (član povjerenstva)
Committee memberBoris Guljaš (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2017-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Plohe konstantne srednje zakrivljenosti (\(H = const.\)) sadrže dvije velike klase ploha - tzv. minimalne plohe (\(H=0\)) i tzv. cmc-plohe, odnosno prave plohe konstantne srednje zakrivljenosti (\(H = const. \neq 0\)). U euklidskoj geometriji, među njih spadaju, primjerice, helikoid i katenoid kao minimalne plohe te sfera i Delaunayeve plohe kao cmc-plohe. Cilj ovog diplomskog rada je analizirati analogne plohe u Minkowskijevom prostoru, tj. prostoru čija metrika nije pozitivno definitna, nego općenito nedegenerirana (pseudo-Riemannov prostor).
Abstract (english)
Surfaces of constant mean curvature (\(H = const.\)) contain two large classes of surfaces - minimal surfaces (\(H=0\)) and cmc-surfaces or surfaces of constant mean curvature (\(H = const. \neq 0\)). In euclidean geometry, they include, for example, helicoid and catenoid as minimal surfaces and the sphere and Delaunay surfaces as cmc-surfaces. The aim of this master’s thesis is to analyse analogue surfaces in the Minkowski space, a space whose metric isn’t positively definite, but is generally non-degenerate (a pseudo-Riemannian space).
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:506214
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
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Created on2018-01-25 11:14:23