| dc.contributor.advisor |
Đorić, Mirjana |
|
| dc.contributor.author |
Đorić, Miloš |
|
| dc.date.accessioned |
2022-02-14T13:36:06Z |
|
| dc.date.available |
2022-02-14T13:36:06Z |
|
| dc.date.issued |
2022 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/5324 |
|
| dc.description.abstract |
In this dissertation, the classification of some important classes od hypersurfaces M
of the nearly Kähler S3 × S3 is considered, along with the parametrisation of the geodesic lines
of this manifold. This manifold is one of only four examples of homogeneous, 6-dimensional,
nearly Kähler manifolds. In addition to the almost complex structure J, this manifold is en-
dowed with an almost product structure P , which anticommutes with J. Owing to these facts,
there are two families of interesting tangent vector fields on S3 × S3, called P−singular vector
fields, having similar properties as A−singular vector fields on complex quadrics Q, which are
already known. The notion of P−principal and P−isotropic tangent vector fields of S3 × S3 is
defined, along with their basic properties. In the case of P−principal normal vector field ξ of
the hypersurface M , the partial classification is given, while the immersion of the hypersurfaces
M with P−isotropic normal vector field ξ is stated explicitly. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2022-02-14T13:36:06Z
No. of bitstreams: 1
MilosDjoricDoktorat.pdf: 800889 bytes, checksum: 6fc60c8acc14e34e7b9e0dcaf20213fe (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2022-02-14T13:36:06Z (GMT). No. of bitstreams: 1
MilosDjoricDoktorat.pdf: 800889 bytes, checksum: 6fc60c8acc14e34e7b9e0dcaf20213fe (MD5)
Previous issue date: 2022 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Beograd |
en_US |
| dc.title |
GEODEZIJSKE LINIJE I HIPERPOVRŠI BLIZU KELEROVE MNOGOSTRUKOSTI S3 X S3 |
en_US |
| mf.author.birth-date |
1988-02-06 |
|
| mf.author.birth-place |
Beograd |
en_US |
| mf.author.birth-country |
Srbija |
en_US |
| mf.author.residence-state |
Srbija |
en_US |
| mf.author.citizenship |
Srpsko |
en_US |
| mf.author.nationality |
Srbin |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
Nearly Kähler manifolds, almost product structure, Hopf hypersurfaces, P−principal vector field, P−isotropic vector field |
en_US |
| mf.subject.subarea |
Differential geometry |
en_US |
| mf.contributor.committee |
Antić, Miroslava |
|
| mf.contributor.committee |
Rakić, Zoran |
|
| mf.contributor.committee |
Vukmirović, Srđan |
|
| mf.contributor.committee |
Nešović, Emilija |
|
| mf.university.faculty |
Mathematical faculty |
en_US |
| mf.document.references |
61 |
en_US |
| mf.document.pages |
92 |
en_US |
| mf.document.location |
Beograd |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
Belgrade University |
en_US |