Joint Seminar of Analysis, Geometry and Topology Department
and International Center for Mathematical Sciences – Sofia (ICMS-Sofia)

Concircularly Semi-Symmetric Metric Connection

Miroslav Maksimović

University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia, and
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria

September 30, 2025, 11:00 h – room 403

Abstract. A concircularly semi-symmetric metric connection is a special class of semi-symmetric metric connection when its
generator is a concircular vector. In this talk, we will present results on this connection on pseudo-Riemannian manifolds, and in particular, we will observe the application to Lorentzian manifolds and the theory of relativity. We demonstrate that a Lorentzian manifold reduces to a GRW space-time when the generator of the observed connection is a unit timelike vector. At the same time, the mentioned connection becomes a semi-symmetric metric P-connection. At the end, we determine the equation of state on a perfect fluid space-time. These are the results of a joint work with prof. Milan Zlatanović published in J. Geom. Phys. 217 (2025).

The lecturer is supported by the Scientific Programme “Enhancing the Research Capacity in Mathematical Sciences (PIKOM)”, No. DO1-67/05.05.2022.