Summary: 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. Similar articles:. Algebras Groups Geom.
Differential Geometry and Its Application Proc. Finsler and Lagrange Spaces, Proc.
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Palermo Suppl. Springer Berlin Tokyo Gakugei Univ.
IV 40 , Korean Math. Forum 5 , Serdica 18 , Marcel Dekker Inc.