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Karakteristični geometrijski objekti i projektivna preslikavanja Ajzenhartovih prostora i uopštenja

dc.contributor.advisorZlatanović, Milan
dc.contributor.otherVelimirović, Ljubica
dc.contributor.otherRakić, Zoran
dc.creatorMilenković, Vladislava M.
dc.date.accessioned2021-03-23T10:02:35Z
dc.date.available2021-03-23T10:02:35Z
dc.date.issued2020-07-27
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=7836
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1671/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=21866761
dc.identifier.urihttps://nardus.mpn.gov.rs/handle/123456789/18149
dc.descriptionThe thesis deals with generalized Einstein spaces, Eisenhart-Riemannian spaces, Eisenhart-Kählerian spaces, Eisenhart-Kählerian spaces of the third type and spaces with non-symetric affine connection. Einstein type tensors are represented in the generalized Einstein spaces. Some relations of Einstein type tensors are obtained. Also, geodesic mappings of T-connected generalized Einstein spaces onto Riemannian space are considered. Geodesic mappins between Eisenhart-Riemannian space and Eisenhart-Kählerian space of the third type were studied, and specially the case when these spaces have the same torsion at corresponding points. Also, holomorphically projective mappings of two Eisenhart-Kählerian spaces were considered, and specially the case of equitorsion holomorphically projective mappings. We obtain quantites that are generalizations of the holomorphically projective tensor i.e. they are invariants. Almost geodesic mappings of the second type of spaces with non-symmetric affine connection are considered. A new form of the basic equation of almost geodesic mappings was found using the Nijenhuis tensor. Nijenhuis tensors of the first and second kind were introduced. Some relations of Nijenhuis tensors are obtained. Biholomorphically projective mappings and equitorsion biholomorphically projective mappings of two Eisenhart-Riemannian spaces were considered. Some relations and some ivariant geometric objects are obtained.en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Нишу, Природно-математички факултетsr
dc.rightsopenAccessen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceУниверзитет у Нишуsr
dc.subjectprostori nesimetrične afine koneksijesr
dc.subjectnon-symmetric affine connection spacesen
dc.subjectgeneralisani Rimanovi prostorisr
dc.subjectgeneralisani Kelerovi prostorisr
dc.subjectgeodezijska preslikavanjasr
dc.subjectskoro geodezijska preslikavanjasr
dc.subjectholomorfno projektivna preslikavanjasr
dc.subjectbiholomorfno projektivna preslikavanjasr
dc.subjectAjnštajnovi tenzorisr
dc.subjecttenzor Nijenhuisasr
dc.subjectinvarijantni geometrijski objektisr
dc.subjectgeneralized Riemannian spacesen
dc.subjectgeneralized Kählerian spacesen
dc.subjectgeodesic mappingsen
dc.subjectalmost geodesic mappingsen
dc.subjectholomorphically projective mappingsen
dc.subjectbiholomorphically projective mappingsen
dc.subjectEinstein type tensorsen
dc.subjectNijenhuis tensoren
dc.subjectinvariant geometric objectsen
dc.titleKarakteristični geometrijski objekti i projektivna preslikavanja Ajzenhartovih prostora i uopštenjasr
dc.typePhD thesis
dc.rights.licenseBY-NC-ND
dcterms.abstractЗлатановић, Милан; Ракић, Зоран; Велимировић, Љубица; Миленковић, Владислава М.; Карактеристични геометријски објекти и пројективна пресликавања Aјзенхартових простора и уопштења; Карактеристични геометријски објекти и пројективна пресликавања Aјзенхартових простора и уопштења;
dc.identifier.fulltexthttps://nardus.mpn.gov.rs/bitstream/id/70364/Disertacija.pdf
dc.identifier.fulltexthttps://nardus.mpn.gov.rs/bitstream/id/70365/Milenkovic_Vladislava_M.pdf
dc.identifier.rcubhttps://hdl.handle.net/21.15107/rcub_nardus_18149


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