Natural transformations in differential geometry

Gerd Kainz; Peter W. Michor

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 4, page 584-607
  • ISSN: 0011-4642

How to cite


Kainz, Gerd, and Michor, Peter W.. "Natural transformations in differential geometry." Czechoslovak Mathematical Journal 37.4 (1987): 584-607. <>.

author = {Kainz, Gerd, Michor, Peter W.},
journal = {Czechoslovak Mathematical Journal},
keywords = {product-preserving functor; Weil algebra; Lie brackets; covariant differentiation},
language = {eng},
number = {4},
pages = {584-607},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural transformations in differential geometry},
url = {},
volume = {37},
year = {1987},

AU - Kainz, Gerd
AU - Michor, Peter W.
TI - Natural transformations in differential geometry
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 4
SP - 584
EP - 607
LA - eng
KW - product-preserving functor; Weil algebra; Lie brackets; covariant differentiation
UR -
ER -


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Citations in EuDML Documents

  1. Włodzimierz M. Mikulski, Product preserving bundle functors on fibered manifolds
  2. Włodzimierz M. Mikulski, Fiber product preserving bundle functors as modified vertical Weil functors
  3. Ivan Kolar, An abstract characterization of the jet spaces
  4. Jacek Dębecki, Some liftings of Poisson structures to Weil bundles
  5. Włodzimierz M. Mikulski, There exists a prolongation functor of infinite order
  6. Ivan Kolář, Covariant approach to natural transformations of Weil functors
  7. Piotr Kobak, Natural liftings of vector fields to tangent bundles of bundles of 1 -forms
  8. Andreas Kriegl, Peter W. Michor, Product preserving functors of infinite-dimensional manifolds
  9. Ivan Kolář, Gabriela Vosmanská, Natural transformations of higher order tangent bundles and jet spaces
  10. Jacek Dębecki, Linear natural operators lifting p -vectors to tensors of type ( q , 0 ) on Weil bundles

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