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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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