Съвместен семинар на секция “Анализ, геометрия и топология”
и Международния център за математически науки – София (МЦМН-София)

Concircularly Semi-Symmetric Metric Connection

Miroslav Maksimović

Университет на Прищина в Косовска Митровица, Косовска Митровица, Сърбия, и
Институт по математика и информатика, Българска академия на науките

30 септември 2025 г., 11:00 ч. – Зала 403

Резюме. 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.