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Riemannian manifold; tangent bundle; natural operation; $g$-natural metric; curvatures

References:

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[2] Abbassi K.M.T., Sarih M.: **The Levi-Civita connection of Riemannian natural metrics on the tangent bundle of an oriented Riemannian manifold**. preprint.

[3] Abbassi K.M.T., Sarih M.: **On some hereditary properties of Riemannian $g$-natural metrics on tangent bundles of Riemannian manifolds**. to appear in Differential Geom. Appl. (2004). MR 2106375 | Zbl 1068.53016

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