Geodesic
Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 937-949 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1007/s10587-012-0075-9
Classification : 53C05, 53C15, 53C55
Keywords: natural lift; cotangent bundle; almost product structure; para-Hermitian structure; para-Kähler structure 
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     title = {Natural diagonal {Riemannian} almost product and {para-Hermitian} cotangent bundles},
     journal = {Czechoslovak Mathematical Journal},
     pages = {937--949},
     year = {2012},
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Druţă-Romaniuc, Simona-Luiza. Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 937-949. doi: 10.1007/s10587-012-0075-9

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