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Natural Diagonal Riemannian Almost Product and Para-Hermitian Cotangent Bundles

By Simona-Luiza Druta-Romaniuc

Abstract

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.Comment: 10 pages, will appear in Czechoslovak Mathematical Journa

Topics: Mathematics - Differential Geometry, 53C05, 53C15, 53C55
Year: 2011
OAI identifier: oai:arXiv.org:1104.2766
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