doiSerbia

Conformal and geodesic mappings of generalized equidistant spaces

Najdanović Marija S. (Faculty of Sciences and Mathematics, Niš + Preschool Teacher Training College, Kruševac)
Zlatanović Milan Lj. (Faculty of Sciences and Mathematics, Niš)
Hinterleitner Irena (Brno University of Technology, Faculty of Civil Engineering, Department of Mathematics, Brno, Czech Republic)

We consider conformal and geodesic mappings of generalized equidistant spaces. We prove the existence of mentioned nontrivial mappings and construct examples of conformal and geodesic mapping of a 3-dimensional generalized equidistant space. Also, we find some invariant objects (three tensors and four which are not tensors) of special geodesic mapping of generalized equidistant space.

Keywords: generalized Riemannian space, equidistant space, conformal mapping, geodesic mapping, equitorsion geodesic mapping

Projekat Ministarstva nauke Republike Srbije, br. 174012