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Some natural constructions on vector fields and higher order cotangent bundles

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Abstract

We prove that forn-manifolds (n≥3) the sets of all natural operatorsT→(T r*,T q*) andT-TT r*, respectively, are free finitely generatedC ∞(R r)-modules. We construct explicitly the bases of theC ∞(R r)-modules.

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  1. Institute of Mathematics, Jagellonian University, Reymonta 4, Kraków, Poland

    W. M. Mikulski

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  1. W. M. Mikulski
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Mikulski, W.M. Some natural constructions on vector fields and higher order cotangent bundles. Monatshefte für Mathematik 117, 107–119 (1994). https://doi.org/10.1007/BF01299315

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  • DOI: https://doi.org/10.1007/BF01299315

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