Geodesic
Connections induced by $(1,1)$-tensor fields on cotangent bundles
Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 317-331

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MR Zbl
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.
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.
DOI : 10.21136/MB.1998.126068
Classification : 53B05, 53C05, 53D05, 58A20, 58F05, 70H35
Keywords: connection; almost complex structure; tensor field; Liouville field; canonical symplectic structure 
Dekrét, Anton. Connections induced by $(1,1)$-tensor fields on cotangent bundles. Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 317-331. doi: 10.21136/MB.1998.126068
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