A+ CATEGORY SCIENTIFIC UNIT

Liftings of 1-forms to $(J^rT^*)^*$

Volume 91 / 2002

Włodzimierz M. Mikulski Colloquium Mathematicum 91 (2002), 69-77 MSC: 58A20, 53A55. DOI: 10.4064/cm91-1-5

Abstract

Let $J^rT^*M$ be the $r$-jet prolongation of the cotangent bundle of an $n$-dimensional manifold $M$ and let $(J^rT^*M)^*$ be the dual vector bundle. For natural numbers $r$ and $n$, a complete classification of all linear natural operators lifting $1$-forms from $M$ to $1$-forms on $(J^rT^*M)^*$ is given.

Authors

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

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