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The natural operators lifting 1-forms on manifolds to the bundles ofA-velocities

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Abstract

LetA be a Weil algebra withp variables. We prove that forn-manifolds (n≥p+2) the set of all natural operatorsT *→T * T A is a free finitely generated module over a ring canonically dependent onA. We construct explicitly the basis of this module.

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Authors and Affiliations

  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. The natural operators lifting 1-forms on manifolds to the bundles ofA-velocities. Monatshefte für Mathematik 119, 63–77 (1995). https://doi.org/10.1007/BF01292769

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  • DOI: https://doi.org/10.1007/BF01292769

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