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Harmonic and quasiconformal mappings, quasi - isometries and the curvature

dc.contributor.advisorMateljević, Miodrag
dc.contributor.otherJevtić, Miroljub
dc.contributor.otherArsenović, Miloš
dc.contributor.otherJovanović, Božidar
dc.creatorKnežević, Miljan V.
dc.date.accessioned2016-07-23T16:10:21Z
dc.date.available2016-07-23T16:10:21Z
dc.date.available2020-07-03T08:39:35Z
dc.date.issued2014-12-23
dc.identifier.urihttp://eteze.bg.ac.rs/application/showtheses?thesesId=3324
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/5974
dc.identifier.urihttps://fedorabg.bg.ac.rs/fedora/get/o:11781/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=47619343
dc.description.abstractU ovoj tezi se razmatraju različite osobine običnih harmonijskih preslikavanja, kvazikonformnih preslikavanja i harmonijskih preslikavanja u odnosu na zadatu konformnu metriku u slici. Dobijeni su odgovori na mnoga pitanja koja se odnose na određivanje onih osobina tih klasa funkcija, koje su od esencijalnog značaja za validnost rezultata poput onih koji uopštavaju čuvene nejednakosti Švarc-Pikovog tipa. Prednost je data geometrijskom pristupu, analizirnjem osobina Gausove krivine konformnih metrika sa kojima operišemo.sr
dc.description.abstractThis thesis considers various properties of Euclidean harmonic mappings, quasiconformal mappings and generalized harmonic mappings, which are harmonic with respect to the conformal metric on the image surface. In particular, we obtained the answers to many questions concerning these classes of functions and that are related to the determination of different properties that are of essential importance for validity of the results such as those that generalize famous inequalities of the Schwarz-Pick type. The approach used was geometrical in nature, via analyzing the properties of the Gaussian curvature of the conformal metrics we are dealing with.en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Београду, Математички факултетsr
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174032/RS//
dc.rightsopenAccessen
dc.sourceУниверзитет у Београдуsr
dc.subjectkvazikonformno preslikavnjesr
dc.subjectquasiconformal mappingen
dc.subjectharmonijsko preslikavnjesr
dc.subjectRimanova površsr
dc.subjectuniverzalno natkrivnjesr
dc.subjectkonformna metrikasr
dc.subjectGausova krivinasr
dc.subjectgustina hiperboličke metrikesr
dc.subjecthiperbolička dužinasr
dc.subjecthiperboličko rastojnjesr
dc.subjecthiperbolički izvodsr
dc.subjectkvadratni diferencijalsr
dc.subjectkvazi-izometrijasr
dc.subjectLipšicovo i ko-Lipšicovo preslikavanjesr
dc.subjectharmonic mappingen
dc.subjectRiemann surfaceen
dc.subjectuniversal coveringen
dc.subjectconformal metricen
dc.subjectGaussian curvatureen
dc.subjecthyperbolic densityen
dc.subjecthyperbolic lengthen
dc.subjecthyperbolic distanceen
dc.subjecthyperbolic derivativeen
dc.subjectquadratic differentialen
dc.subjectquasiisometryen
dc.subjectLipschitz i co-Lipschitz mappingen
dc.titleХармонијска и квазиконформна пресликавања, квази-изометрије и кривинаsr
dc.titleHarmonic and quasiconformal mappings, quasi - isometries and the curvatureen
dc.typedoctoralThesis
dc.rights.licenseBY-SA
dcterms.abstractМатељевић, Миодраг; Јовановић, Божидар; Јевтић, Мирољуб; Aрсеновић, Милош; Кнежевић, Миљан В.; Harmonijska i kvazikonformna preslikavanja, kvazi-izometrije i krivina;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/6838/Disertacija3922.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/6839/Knezevic_Miljan_referat_MTF.pdf


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