Ljiljana Primorac Gajčić

 

Senior Assistant
Department of Mathematics
Josip Juraj Strossmayer University of Osijek
Trg Ljudevita Gaja 6
Osijek, HR-31000, Croatia¸
phone: +385-31-224-819
fax: +385-31-224-801
email:  lprimora @ mathos.hr
office:  15 (first floor)

 


Research Interests

Pseudo-Riemannian Geometry
Differential Geometry

Degrees

PhD in theoretical mathematics, Department of Mathematics, University of Zagreb , 2016.
BSc in Mathematics and Computer Science, Department of Mathematics, University of Osijek, Croatia, 2007.
 

Publications

 
Journal Publications

  1. R. Lopez, Ž. Milin-Šipuš, Lj. Primorac Gajčić, I. Protrka, Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space, International Journal of Geometric Methods in Modern Physics 16/5 (2019)
  2. Ž. Milin-Šipuš, Lj. Primorac Gajčić, Minding isometries of ruled surfaces in Lorentz-Minkowski space, Rad HAZU, Matematičke znanosti. (2018), prihvaćen za objavljivanje


Refereed Proceedings

  1. Lj. Primorac Gajčić, Ž. Milin-Šipuš, I. Protrka, Structure Functions of Ruled Surfaces with Null Rulings , The 18th International Conference on Geometry and Graphics, Milano, 2018, 371-380
    In this paper we analyze ruled surfaces in Lorentz-Minkowski space in terms of their structure functions. We are especially interested in ruled surfaces which do not have a Euclidean counterpart, that is, surfaces with null rulings, and in particular, so-called B- scrolls. For ruled surfaces in Lorentz- Minkowski space, we establish relations between their structure functions and curvatures. Structure functions can be used for e.g. proving the classical Dini-Beltrami theorem which states (in Euclidean space) that a ruled skew Weingarten surface is a piece of a helicoidal surface. In Lorentz-Minkowski space, the problem is more complex, due to the different types of surfaces with respect to their inherited metrics. It turns out that all null-ruled surfaces are Weingarten, however their structure functions need not be constant. In this paper we analyze helicoidal surfaces among Weingarten null-ruled surfaces in terms of their structure functions.
  2. Lj. Primorac Gajčić, On local isometries of B-scrolls in Minkowski space, The Young Researcher Workshop on Differential Geometry in Minkowski Space, Granada, Spain, 2017, 125-132
  3. Lj. Primorac Gajčić, Ž. Milin-Šipuš, Ruled Surfaces of Constant Slope in 3-Minkowski Space, 16th International Conference on Geometry and Graphics, Innsbruck, 2014


Others

  1. Lj. Primorac Gajčić, A. Corn, Pravilni zvjezdasti mnogokuti, Osječki matematički list 17/2 (2018), 161-170
  2. Lj. Primorac Gajčić, Al-Khwarizmijeva metoda rješavanja kvadratnih jednadžbi, Matematika i škola 27/83 (2016), 122-124



Projects



 


Professional Activities

Editorial Boards

 


 

Committee Memberships

 


 

Refereeing/Reviewing

 


 

Service Activities

 


Teaching

Zimski semestar:

Ljetni semestar:

Konzultacije (Office Hours): Četvrtkom(Thu) u 11h ili po dogovoru.

 


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