Dekrét, Anton Connections induced by (1,1)-tensor fields on cotangent bundles. (English) Zbl 0934.53020 Math. Bohem. 123, No. 3, 317-331 (1998). Summary: On cotangent bundles the Liouville field, the Liouville 1-form \(\varepsilon \) and the canonical symplectic structure d\(\varepsilon \) exist. In this paper, interactions between these objects and \((1,1)\)-tensor fields on cotangent bundles are studied. Properties of the connections induced by the above structures are investigated. MSC: 53C05 Connections (general theory) 53D05 Symplectic manifolds (general theory) Keywords:connection; almost complex structure; tensor field; Liouville field; canonical symplectic structure PDF BibTeX XML Cite \textit{A. Dekrét}, Math. Bohem. 123, No. 3, 317--331 (1998; Zbl 0934.53020) Full Text: EuDML