Admissible operations and product preserving functors

  • Jacek Gancarzewicz
  • Wlodzimierz Mikulski
  • Zdzislaw Pogoda
Part of the Mathematics and Its Applications book series (MAIA, volume 350)


In the paper lifts of tensor fields of type (1, k) and (0, k) and linear connections to a product preserving functor F are studied. A concept of “admissible” operations which send a finite sequence of tensor fields into a tensor field is introduced and a general procedure to prove formulas for lifts are proposed.

Key words

product preserving functor Weil functor geometric object lift 

AMS classification

55R10 58A20 53C15 53C05 


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Jacek Gancarzewicz
    • 1
  • Wlodzimierz Mikulski
    • 1
  • Zdzislaw Pogoda
    • 1
  1. 1.Instytut Matematyki UJKrakówPoland

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