On geodesic lines of metric semi-symmetric connection on Riemannian and hyperbolic Kaehlerian spaces


Nevena Pušić




Geodesic lines on any metric space are autoparallel lines of its Levi-Civita connection. Here we give necessary and sufficient conditions for a metric semi-symmetric connection of a Riemannian space and ametric semi-symmetric connection of a hyperbolic Kaehlerian space to have some of their autoparallel lines in common with their Levi-Civita connection.