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References:
[1] Calvo M. del C., Keilhauer G. G. R.: Tensor fields of type $(0,2)$ on the tangent bundle of a Riemannian manifold. Geometriae Dedicata 71 (1998), 209-219. MR 1629795
[2] Keilhauer G. G. R.: Tensor fields of type $(0,2)$ on linear frame bundles and cotangent bundles. Rendiconti del Seminario Matematico dell’Universitá di Padova 103 (2000) [It can be downloaded from http://www.math.unipd.it/~rendicon/rendiconti /vol103.html]. MR 1789532 | Zbl 0993.53007
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