Title
Skoro geodezijska preslikavanja generalisanih Rimanovih prostora i uopštenja
Creator
Vesić, Nenad O. 1985-
Copyright date
2018
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 19.06.2018.
Other responsibilities
mentor
Stanković, Mića 1965-
član komisije
Velimirović, Ljubica 1955-
član komisije
Rakić, Zoran
član komisije
Zlatanović, Milan 1984-
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Prirodno-matematički fakultet
Group
Odsek za matematiku i informatiku
Alternative title
Almost Geodesic Mappings of Generalized Riemannian Spaces and Their Generalizations
Publisher
[N. О. Vesić]
Format
111 str.
description
Biobibliografija: str.108-111;
Bibliografija: str. 98-107.
description
Differential geometry
Abstract (en)
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 generalized Riemannian space without no one additional
assumption.
Authors Key words
prostor nesimetrične afine koneksije, generalisani Rimanov
prostor, geodezijsko preslikavanje, skoro geodezijsko
preslikavanje, konformno preslikavanje, invarijanta
Authors Key words
non-symmetric affine connection space, generalized Riemannian
space, geodesic mapping, almost geodesic mapping, conformal
mapping, invariant geometrical object
Classification
514.764.3/.5
Subject
514.764.25
Subject
P 150
Type
Tekst
Abstract (en)
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 generalized Riemannian space without no one additional
assumption.
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