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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-PWA3-0011-0006

Czasopismo

Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics

Tytuł artykułu

Natural operators lifting projectable-projectable vector fields to product preserving bundle functors on fibered-fibered manifolds

Autorzy Mikulski, W. M.  Tomáš, J. M. 
Treść / Zawartość http://demmath.mini.pw.edu.pl/access.php https://www.degruyter.com/view/j/dema
Warianty tytułu
Języki publikacji EN
Abstrakty
EN For any product-preserving bundle functor F denned on the category F2 M of fibered-fibered manifolds, we determine all natural operators transforming projectable-projectable vector fields on Y 6 Ob(F2M) to vector fields on FY. We also determine all natural affinors on FY and prove a composition property analogous to that concerning Weil bundles.
Słowa kluczowe
PL operatory naturalne   pole wektorowe  
EN natural operator   vector fields  
Wydawca De Gruyter
Czasopismo Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
Rocznik 2004
Tom Vol. 37, nr 3
Strony 697--707
Opis fizyczny Bibliogr. 8 poz., rys.
Twórcy
autor Mikulski, W. M.
  • Institute of Mathematics, Jagiellonian University Kraków, ul. Reymonta 4, 30-059 Kraków, Poland, Mikulski@im.uj.edu.pl
autor Tomáš, J. M.
  • Department of Physical and Applied Chemistry, Faculty of Chemistry, Technical University Brno, Purkyňova 118, 602 00 Brno, Czech Republic, Tomas@fch.vitbr.cz
Bibliografia
[1] D. J. Eck, Product preserving functors on smooth manifolds, J. Pure Appl. Algebra 42 (1986), 133-140.
[2] G. Kainz, P. W. Michor, Natural transformations in differential geometry, Czechoslovak Math. J. 37 (1987), 584-607.
[3] I. Kolář, On the natural operators on vector fields, Ann. Global Anal. Geometry 6 (1988), 109-117.
[4] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag (1993.),
[5] O. O. Luciano, Categories and multiplicative functors and Weil's infinitely near points, Nagoya Math. J. 109 (1988), 69-89.
[6] W. M. Mikulski, Product preserving bundle functors on fibered manifolds, Arch. Mathem. Brno 32 (1996), 307-316.
[7] W. M. Mikulski, J. M. Tomáš, Product preserving bundle functors on fibered-fibered manifolds, Colloq. Math. 96 (1) (2003), 17-26.
[8] J. M. Tomas, Natural operators transforming protectable vector fields to product preserving bundles, Suppl. Rendiconti Circ. Matem. di Palermo, 59 (1999), 181-187.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-PWA3-0011-0006
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