| dc.contributor.advisor |
Mateljević, Miodrag |
|
| dc.contributor.author |
Knežević, Miljan |
|
| dc.date.accessioned |
2016-08-18T07:22:38Z |
|
| dc.date.available |
2016-08-18T07:22:38Z |
|
| dc.date.issued |
2014-10 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/4280 |
|
| dc.description.abstract |
This 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_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2016-08-18T07:22:38Z
No. of bitstreams: 1
phdKNEZEVIC_MILJAN.pdf: 1312207 bytes, checksum: 9a87fbb1ba47255eb028f1192f4a7374 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2016-08-18T07:22:38Z (GMT). No. of bitstreams: 1
phdKNEZEVIC_MILJAN.pdf: 1312207 bytes, checksum: 9a87fbb1ba47255eb028f1192f4a7374 (MD5)
Previous issue date: 2014-10 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Beograd |
en_US |
| dc.title |
HARMONIJSKA I KVAZIKONFORNA PRESLIKAVANJA, KVAZI - IZOMETRIJE I KRIVINA |
en_US |
| mf.author.birth-date |
1973-05-12 |
|
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
Quasiconformal mapping, Harmonic mapping, Riemann surface, Universal covering, Conformal metric, Gaussian curvature, Hyperbolic density, Hyperbolic length, Hyperbolic distance, Hyperbolic derivative, Quadratic differential, Quasiisometry, Lipschitz i co-Lipschitz mapping. |
en_US |
| mf.subject.subarea |
Complex analysis |
en_US |
| mf.contributor.committee |
Mateljević, Miodrag |
|
| mf.contributor.committee |
Javtić, Miroljub |
|
| mf.contributor.committee |
Arsenović, Miloš |
|
| mf.contributor.committee |
Jovanović, Božidar |
|
| mf.university.faculty |
Mathematical Faculty |
en_US |
| mf.document.references |
60 |
en_US |
| mf.document.pages |
125 |
en_US |
| mf.document.location |
Beograd |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
Belgrade University |
en_US |