Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles |
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Authors: | Simona-Luiza Dru?ǎ-Romaniuc |
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Institution: | 1. Department of Sciences, Universitatea “Alexandru Ioan Cuza” din, 54 Lascar Catargi Street, RO-700107, Ia?i, Romania
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Abstract: | We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. Studying the compatibility and the anti-compatibility relations between the determined structures and a natural diagonal metric, we find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. Finally, we prove the characterization theorem for the natural diagonal (almost) para-Kählerian structures on the total space of the cotangent bundle. |
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