Natural transformations in differential geometry
Czechoslovak Mathematical Journal (1987)
- Volume: 37, Issue: 4, page 584-607
- ISSN: 0011-4642
Access Full Article
topHow to cite
topKainz, Gerd, and Michor, Peter W.. "Natural transformations in differential geometry." Czechoslovak Mathematical Journal 37.4 (1987): 584-607. <http://eudml.org/doc/13670>.
@article{Kainz1987,
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 = {http://eudml.org/doc/13670},
volume = {37},
year = {1987},
}
TY - JOUR
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 - http://eudml.org/doc/13670
ER -
References
top- H. Federer, Geometric measure theory, Grundlehren Band 153, Springer Verlag 1969. (1969) Zbl0176.00801MR0257325
- D. B. A. Epstein W. P. Thurston, Transformation groups and natural bundles, Proc. London Math. Soc. (III), 38 (1979), 219-236. (1979) MR0531161
- A. Kock, Synthetic differential geometry, London Math. Society, Lecture Note Series 51, 1981. (1981) Zbl0487.18006MR0649622
- I. Kolář, Natural transformations of the second tangent functor into itself, Arch. Math. (Brno) 4, 1984. (1984) MR0784868
- A. Kriegl, 10.1007/BF01301929, Monatshefte Math. 94 (1982), 109-124. (1982) MR0678046DOI10.1007/BF01301929
- I. Moerdijk K. E. Reyes, The tangent functor category revisited, Preprint, Amsterdam 1983. (1983)
- I. Moerdijk С. E. Reyes, -rings, Preprint Montréal 1984. (1984)
- В. L. Reinhart, Differential geometry of foliations, Ergebnisse 99, Springer-Verlag 1983. (1983) Zbl0506.53018MR0705126
- I. Rosický, Abstract tangent functors, Preprint Brno 1984. (1984) MR0800500
- S. Šwierczkowski, A description of the tangent functor category, Coll. Math. 31 (1974). (1974) MR0379628
- С. L. Terng, Natural vector bundles and natural differential operators, Amer. J. Math. 100, 775-828. Zbl0422.58001MR0509074
- A. Vanžurová, On geometry of the third tangent bundle, Acta Univ. Olom. 82 (1985). (1985) MR0879025
- A. Weil, Théorie des points proches sur les variétés differentiables, in Colloq. Top et Geo. Diff., Strassbourg 1953, 111-117. (1953) Zbl0053.24903MR0061455
- J. E. White, The method of iterated tangents with applications in local Riemannian geometry, Pitman 1982. (1982) Zbl0478.58002MR0693620
- David J. Eck, Product preserving functors on smooth manifolds, preprint 1985. (1985) MR0857563
- O. O. Luciano, Categories of multiplicative functors and Morimoto's Conjecture, Preprint 1986. (1986)
Citations in EuDML Documents
top- Włodzimierz M. Mikulski, Product preserving bundle functors on fibered manifolds
- Włodzimierz M. Mikulski, Fiber product preserving bundle functors as modified vertical Weil functors
- Ivan Kolar, An abstract characterization of the jet spaces
- Włodzimierz M. Mikulski, There exists a prolongation functor of infinite order
- Ivan Kolář, Covariant approach to natural transformations of Weil functors
- Piotr Kobak, Natural liftings of vector fields to tangent bundles of bundles of -forms
- Jacek Dębecki, Some liftings of Poisson structures to Weil bundles
- Ivan Kolář, Gabriela Vosmanská, Natural transformations of higher order tangent bundles and jet spaces
- Andreas Kriegl, Peter W. Michor, Product preserving functors of infinite-dimensional manifolds
- Ivan Kolář, Zbigniew Radziszewski, Natural transformations of second tangent and cotangent functors
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.