| dc.contributor.advisor |
Velimirović, Ljubica |
|
| dc.contributor.author |
Cvetković, Milica |
|
| dc.date.accessioned |
2014-06-24T09:06:02Z |
|
| dc.date.available |
2014-06-24T09:06:02Z |
|
| dc.date.issued |
2013 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/3813 |
|
| dc.description.abstract |
This work provides the surface shape analysis in R3 using the
shape operator, i.e. using the curvatures as well as curvature's
functionals such as the Willmore energy. Then, there were
considered changes of surfaces' geometric characteristics
under infinitesimal deformations, and specialy, curvature based
functionals variations under infinitesimal bending of surface.
Special kinds of ruled surfaces were analysed from geometrical
and constructional point of view, and pointed to their wide use.
At last, there is a generalization by considering the Finsler and
the generalized Finsler spaces. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2014-06-24T09:06:02Z
No. of bitstreams: 1
2014_01_22_cm.pdf: 1476857 bytes, checksum: af97d7142ee33f47524ccda332d56df4 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2014-06-24T09:06:02Z (GMT). No. of bitstreams: 1
2014_01_22_cm.pdf: 1476857 bytes, checksum: af97d7142ee33f47524ccda332d56df4 (MD5)
Previous issue date: 2013 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Niš |
en_US |
| dc.title |
ANALIZA OBLIKA POVRŠI I UOPŠTENJA |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
Differential geometry of curves and surfaces, shape operator, normal curvature, principal curvatures, Gaussian curvature, mean curvature, Willmore energy, ruled surfaces, Gaudi surfaces, developable surfaces, infinitesimal deformations infinitesimal bending, variations, Finsler's spaces, conection,absolute parallelism, generalized Finsler's spaces, h-covariantdifferentiation, Ricci type identities, curvature tensors, curvature pseudotensors. |
en_US |
| mf.subject.subarea |
Diferencijalna geometrija |
en_US |
| mf.university.faculty |
DEPARTMAN ZA MATEMATIKU |
en_US |
| mf.document.references |
100 |
en_US |
| mf.document.pages |
114 |
en_US |
| mf.document.location |
Niš |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
UNIVERZITET U NIŠU |
en_US |