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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)
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