Skoro geodezijska preslikavanja generalisanih Rimanovih prostora i uopštenja
Doktorand
Vesić, Nenad O.Mentor
Stanković, MićaČlanovi komisije
Velimirović, LjubicaRakić, Zoran
Zlatanović, Milan
Metapodaci
Prikaz svih podataka o disertacijiSažetak
Geodesic, almost geodesic and conformal mappings of nonsymmetric
affine connection spaces are studied in this thesis. At the
start of this research, we obtained what are correlations between
different invariants of geodesic mappings of a non-symmetric affine
connection space. After that, we studied second and third type almost
geodesic mappings of a non-symmetric affine connection space.
Invariants of third type almost geodesic mappings are obtained at the
end of the second section of this dissertation.
Formulae for general invariants of geometric mappings of a nonsymmetric
affine connection space are presented at the start of the
third section. We applied these formulas to find invariants of some
mappings of a generalized Riemannian space (invariants of special
second type almost geodesic mappings, invariants of equitorsion third
type almost geodesic mappings, invariants of conformal mappings).
Using these formulas, we obtained invariants of a conformal mapping
of gener...alized Riemannian space without no one additional
assumption.
Fakultet:
Универзитет у Нишу, Природно-математички факултетDatum odbrane:
19-06-2018Projekti:
- Geometrija, obrazovanje i vizuelizacija sa primenama (RS-MESTD-Basic Research (BR or ON)-174012)