Displaying similar documents to “Natural operations of Hamiltonian type on the cotangent bundle”

Natural affinors on the extended r -th order tangent bundles

Gancarzewicz, Jacek, Kolář, Ivan

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The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extended r -th order tangent bundle E r M over a manifold M ) are linear combinations (the coefficients of which are smooth functions on ℛ ) of four natural affinors defined in this work.

Connections of higher order and product preserving functors

Jacek Gancarzewicz, Noureddine Rahmani, Modesto R. Salgado (2002)

Czechoslovak Mathematical Journal

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In this paper we consider a product preserving functor ℱ of order r and a connection Γ of order r on a manifold M . We introduce horizontal lifts of tensor fields and linear connections from M to ℱ ( M ) with respect to Γ . Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order.

Liftings of 1-forms to some non product preserving bundles

Doupovec, Miroslav, Kurek, Jan

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Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold M . First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.