NOTES ON THE GEOMETRY OF COTANGENT BUNDLE AND UNIT COTANGENT SPHERE BUNDLE.

KACIMI, Bouazza; KADI, Fatima Zohra; ÖZKAN, Mustafa

Let (N, g) be a Riemannian manifold, by using the musical isomorphisms ... and ... induced by g, we built a bridge between the geometry of the tangent bundle TN (resp. the unit tangent sphere bundle T1N) equipped with the Sasaki metric gS (resp. the induced Sasaki metric ḡS) and that of the cotangent bundle T*N (resp. the unit cotangent sphere bundle T1* endowed with the Sasaki metric gS (resp. the induced Sasaki metric GS). Moreover, we prove that T1*N carries a contact metric structure and study some of its properties.

TANGENTS (Geometry); TANGENT bundles; SPHERES; GEOMETRY; MUSICALS

Communications Series A1 Mathematics & Statistics, 2024, Vol 73, Issue 3, p845

1303-5991

Academic Journal

10.31801/cfsuasmas.1431646