Magnetic trajectories on almost contact metric manifolds

Abstract: This presentation consists in a collection of results obtained so far in the study of magnetic trajectories as well as some future work. As the study of magnetic trajectories was intensively developed in Kaehler manifolds, where the Kaehler 2-form is closed and hence defines a magnetic field, we investigate the magnetic curves in quasi-Sasakian manifolds. In particular, the magnetic curves in Sasakian and cosymplectic manifolds of arbitrary dimension are classified. The 3-dimensional case is quite important, as it is well known that the geometry of quasi-Sasakian 3-manifolds is rather special and we will present the results obtained in the study of magnetic trajectories.

Mathematics

Audience: researchers in the topic

Women in Mathematics in South-Eastern Europe

Series comments: The webinar will be held in Zoom. A direct link to the virtual hall will appear on icms.bg/ on the day of the webinar.