Dr. Marija S. Najdanović
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Academic Career Length
16Years (2011-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications29 January 2012 in Applied Mathematics and Computation
Journal Article
Ljubica VelimirovicMCMilica D. Cvetković
Milica D. CvetkovićMarija S. NajdanovićNVNikola Velimirović
Nikola Velimirović1 January 2015 in Publications de l'Institut Mathematique
Journal Article
Marija S. NajdanovićMZMilan Lj. Zlatanović
Milan Lj. ZlatanovićIHIrena Hinterleitner
Irena HinterleitnerWe 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.
1 January 2017 in Filomat
Journal Article
Marija S. NajdanovićLjubica VelimirovicWe investigate a second order infinitesimal bending of curves in a three-dimensional Euclidean space in this paper. We give the necessary and sufficient conditions for the vector fields to be infinitesimal bending fields of the corresponding order, as well as explicit formulas which determine these fields. We examine the first and the second variation of some geometric magnitudes which describe a curve, specially a change of the curvature. Two illustrative examples (a circle and a helix) are studied not only analytically but also by drawing curves using computer program Mathematica.
1 January 2015 in Filomat
Journal Article
Marija S. NajdanovićIn this paper we study the change of the Willmore energy of curves, as a special case of so-called Helfrich energy, under infinitesimal bending determined by the stationarity of arc length. We examine the variation of the unit tangent, principal normal and binormal vector fields, the curvature and the torsion of the curve. We obtain an explicit formula for calculating the variation of the Willmore energy, as well as the Euler-Lagrange equations describing equilibrium. We find an infinitesimal bending field for a helix and compute the variation of its Willmore energy under such infinitesimal bending.
1 October 2019 in Journal of Knot Theory and Its Ramifications
Journal Article
LKLouis H. Kauffman
Louis H. Kauffman
Ljubica VelimirovicMarija S. NajdanovićSRSvetozar R. Rančić
Svetozar R. Rančić
1 January 2017 in Miskolc Mathematical Notes
Journal Article
Marija S. NajdanovićLVLjubica S. Velimirovic
Ljubica S. Velimirovic
About Me
Marija S. Najdanović received her Bachelor's degree at the Faculty of Sciences and Mathematics, University of Niš, Serbia, from 2002 to 2007, and a Ph.D. at the Faculty of Sciences and Mathematics, University of Niš from 2007 to 2012. From 2007 to 2013, she worked as an Assistant at the Preschool Teacher Training College in Kruševac, Serbia. From 2013 to 2014, she was a Lecturer, and from 2014 to 2019, a Professor of vocational studies. From 2019 to 2023, she was an Assistant Professor at the Department of Mathematics, Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Serbia. Since 2023, she has been working as an Associate Professor at the Faculty of Sciences and Mathematics in Kosovska Mitrovica.