A+ CATEGORY SCIENTIFIC UNIT

Natural operators lifting functions to affinors on higher order cotangent bundles

Volume 83 / 2004

W. M. Mikulski Annales Polonici Mathematici 83 (2004), 49-55 MSC: 58A20, 53A55. DOI: 10.4064/ap83-1-6

Abstract

For natural numbers $n\geq 3$ and $r\geq 1$ all natural operators $A:T^{(0,0)}_{| {\mathcal M}f_n} \rightsquigarrow T^{(1,1)}T^{r*}$ transforming functions from $n$-manifolds into affinors (i.e. tensor fields of type $(1,1)$) on the $r$-cotangent bundle are classified.

Authors

  • W. M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland
    e-mail

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