MATHEMATICA BOHEMICA, Vol. 123, No. 3, pp. 317-331 (1998)

Connections induced by (1,1)-tensor fields on cotangent bundles

Anton Dekrét

Anton Dekrét, Department of Mathematics, TU Zvolen, Masarykova 24, 960 53 Zvolen, Slovakia, e-mail:

Abstract: 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.

Keywords: connection, almost complex structure, tensor field

Classification (MSC2000): 58F05, 70H35, 58A20

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