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In this article, we construct a new metric 3pt{ G} = R + ₈, ₉ = ₁ᵐ a^{ji} pⱼ pᵢ in the cotangent bundle, where R is the Riemannian extension and a^ji is a symmetric (2, 0) -tensor field on a differentiable manifold.
Filiz Ocak (Thu,) studied this question.
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