A+ CATEGORY SCIENTIFIC UNIT

Lifting adapted connections from foliated manifolds to higher order adapted frame bundles

Volume 93 / 2008

J. Kurek, W. M. Mikulski Annales Polonici Mathematici 93 (2008), 163-169 MSC: Primary 58A20. DOI: 10.4064/ap93-2-4

Abstract

Let $(M,\mathcal F)$ be a foliated manifold. We describe all natural operators $\mathcal A$ lifting $\mathcal F$-adapted (i.e. projectable in adapted coordinates) classical linear connections $\nabla$ on $(M,\mathcal F)$ into classical linear connections $\mathcal A(\nabla)$ on the $r$th order adapted frame bundle $P^r(M,\mathcal F)$.

Authors

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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image