Natural Diagonal Riemannian Almost Product and Para-Hermitian Cotangent Bundles

Details Natural Diagonal Riemannian Almost Product and Para-Hermitian Cotangent Bundles Natural Diagonal Riemannian Almost Product and Para-Hermitian Cotangent Bundles

2011-04-14

arxiv.org/abs/1104.2766v1

Mathematics

Differential Geometry

10 pages, will appear in Czechoslovak Mathematical Journal

Scientific paper

We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. We find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. We prove the characterization theorem for the natural diagonal (almost) para-K\"ahlerian structures on the total spaces of the cotangent bundle.

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