A+ CATEGORY SCIENTIFIC UNIT

Lifting of linear vector fields to fiber product preserving vertical gauge bundles

Volume 103 / 2005

J. Kurek, W. M. Mikulski Colloquium Mathematicum 103 (2005), 33-40 MSC: 58A05, 58A20. DOI: 10.4064/cm103-1-5

Abstract

We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.

Authors

  • J. KurekInstitute of Mathematics
    Maria Curie-Skłodowska University
    Pl. Marii Curie-Skłodowskiej 1
    20-031 Lublin, Poland
    e-mail
  • W. M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland
    e-mail

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