On a quarter-symmetric generalized metric connection in a generalized Riemannian manifold

Maksimović, Miroslav

Abstract

In this talk, we will discuss the generalized Riemannian manifold and introduce a quarter-symmetric connection that preserves the generalized Riemannian metric. We will also observe a quarter-symmetric connection with a special condition and recurrent torsion tensor and examine the properties of linearly independent curvature tensors of generalized Riemannian manifold.

Funding

This research was financially supported by projects of the Ministry of Education, Science and Technological Development of the Republic of Serbia (project no. 451-03-9/2021-14/200123) and supported by Faculty of Sciences and Mathematics, University of Pristina in Kosovska Mitrovica (internal-junior project IJ-0203).

Keywords