On the geometry of tangent bundles with a class of metrics

• Autorzy: Esmaeil Peyghan , Abbas Heydari , Leila Nourmohammadi Far
• Języki publikacji: EN

Abstrakty

EN

We introduce a class of metrics on the tangent bundle of a Riemannian manifold and find the Levi-Civita connections of these metrics. Then by using the Levi-Civita connection, we study the conformal vector fields on the tangent bundle of the Riemannian manifold. Finally, we obtain some relations between the flatness (resp. local symmetry) properties of the tangent bundle and the flatness (resp. local symmetry) on the base manifold.

Kategorie tematyczne

• 53C22: Geodesics
• 53C20: Global Riemannian geometry, including pinching

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 103
• Numer: 3
• Strony: 229-246

Daty

wydano

2012

Twórcy

autor

Esmaeil Peyghan

• Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

autor

Abbas Heydari

• Department of Mathematics, Tarbiat Modares University, Tehran, Iran

autor

Leila Nourmohammadi Far

• Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

Identyfikatory

DOI

10.4064/ap103-3-2