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Skoro geodezijska preslikavanja generalisanih Rimanovih prostora i uopštenja

By Nenad O. Vesić


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

Topics: prostor nesimetrične afine koneksije, generalisani Rimanov prostor, geodezijsko preslikavanje, skoro geodezijsko preslikavanje, konformno preslikavanje, invarijanta, non-symmetric affine connection space, generalized Riemannian space, geodesic mapping, almost geodesic mapping, conformal mapping, invariant geometrical object
Publisher: Универзитет у Нишу, Природно-математички факултет
Year: 2018
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Provided by: Nardus
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