1. Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles
- Creator:
- Druţă-Romaniuc, Simona-Luiza
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- natural lift, cotangent bundle, almost product structure, para-Hermitian structure, and para-Kähler structure
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public