Czechoslovak Mathematical Journal, Vol. 62, No. 4, pp. 937-949, 2012

Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles

Simona-Luiza Druţă-Romaniuc

Simona-Luiza Druţă-Romaniuc, Department of Sciences, 54 Lascar Catargi Street, RO-700107, Universitatea "Alexandru Ioan Cuza" din Iaşi, Romania, e-mail:

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-Kahlerian structures on the total space of the cotangent bundle.

Keywords: natural lift, cotangent bundle, almost product structure, para-Hermitian structure, para-Kahler structure

Classification (MSC 2010): 53C05, 53C15, 53C55

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