×

zbMATH — the first resource for mathematics

Connections induced by (1,1)-tensor fields on cotangent bundles. (English) Zbl 0934.53020
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)
PDF BibTeX XML Cite
Full Text: EuDML