Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles

Title:

Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles

Creator:

Druţă-Romaniuc, Simona-Luiza

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2f8e23cf-89af-48fc-aecc-420630dcd7b7
uuid:2f8e23cf-89af-48fc-aecc-420630dcd7b7

Subject:

natural lift, cotangent bundle, almost product structure, para-Hermitian structure, and para-Kähler structure

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

937-949

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:4

Harvested from:

CDK

Metadata only:

false