E. Peyghan, Abbas Heydari, L. Nourmohammadi Far
Abstract
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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 ma
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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 ma
Key concepts: Tangent bundle, Unit tangent bundle, Mathematics, Connection (principal bundle), Conformal map, Vector bundle, Normal bundle, Tangent