On the geometry of tangent bundles with the metric $II+III$
Tom 97 / 2010
Annales Polonici Mathematici 97 (2010), 73-85 MSC: Primary 53C25; Secondary 53C22. DOI: 10.4064/ap97-1-6
The main purpose of this paper is to investigate some relations between the flatness or locally symmetric property on the tangent bundle $TM$ equipped with the metric $II+III$ and the same property on the base manifold $M$ and study geodesics by means of the adapted frame on $TM$.