Riemannian almost product and para-Hermitian cotangent bundles of general natural lift type |
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Authors: | S L Dru??-Romaniuc |
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Institution: | 1. Department of Sciences, Universitatea “Alexandru Ioan Cuza” din Ia?i, 54 Lascar Catargi Street, 700107, Ia?i, Romania
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Abstract: | We characterize the almost product and locally product structures of general natural lift type on the cotangent bundle of a Riemannian manifold. We find the conditions under which the cotangent bundle endowed with the constructed almost product (locally product) structure and with a pseudo-Riemannian metric obtained as a general natural lift of the metric from the base manifold, is a Riemannian almost product (locally product) or an (almost) para-Hermitian manifold. Finally, by studying the closedness of the 2-form associated to the obtained (almost) para-Hermitian structure, we characterize the general natural (almost) para-Kählerian structures on the cotangent bundle. |
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