Natural transformations of higher order tangent bundles and jet spaces

Ivan Kolář; Gabriela Vosmanská

Časopis pro pěstování matematiky (1989)

  • Volume: 114, Issue: 2, page 181-186
  • ISSN: 0528-2195

How to cite

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Kolář, Ivan, and Vosmanská, Gabriela. "Natural transformations of higher order tangent bundles and jet spaces." Časopis pro pěstování matematiky 114.2 (1989): 181-186. <http://eudml.org/doc/19536>.

@article{Kolář1989,
author = {Kolář, Ivan, Vosmanská, Gabriela},
journal = {Časopis pro pěstování matematiky},
keywords = {r-jet; natural transformations; r-th order tangent vectors},
language = {eng},
number = {2},
pages = {181-186},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Natural transformations of higher order tangent bundles and jet spaces},
url = {http://eudml.org/doc/19536},
volume = {114},
year = {1989},
}

TY - JOUR
AU - Kolář, Ivan
AU - Vosmanská, Gabriela
TI - Natural transformations of higher order tangent bundles and jet spaces
JO - Časopis pro pěstování matematiky
PY - 1989
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 114
IS - 2
SP - 181
EP - 186
LA - eng
KW - r-jet; natural transformations; r-th order tangent vectors
UR - http://eudml.org/doc/19536
ER -

References

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  1. J. A. Dieudonni J. B. Carrel, Invariant Theory, Old and New, Academic Press, New York-London 1971. (1971) MR0279102
  2. J. Janyška, Geometrical properties of prolongation functors, Časopis pěst. mat. 110 (1985), 77-86. (1985) Zbl0582.58002MR0791280
  3. G. Kainz P. Michor, Natural transformations in differential geometry, Czechoslovak Math. J. 37 (112) (1987), 584-607. (1987) Zbl0654.58001MR0913992
  4. T. Klein, Connections on higher order tangent bundles, Časopis pěst. mat. 106 (1981), 414-421. (1981) Zbl0497.58003MR0637822
  5. I. Kolář, Some natural operators in differential geometry, Proc. Conf. Differential Geometry and its Applications, Brno 1986, D. Reidel, 1987, 91-110. (1986) Zbl0653.58003MR0923346
  6. I. Kolář G. Vosmanská, Natural operations with second order jets, Rendiconti del Circolo Matematico di Palermo, Serie II. numero 14-1987, 179-186. (1987) Zbl0676.58004MR0920854
  7. R. S. Palais C. L. Terng, Natural bundles have finite order, Topology, 16 (1977), 271-277. (1977) Zbl0359.58004MR0467787
  8. F. W. Pohl, Differential geometry of higher order, Topology, I (1962), 169-211. (1962) Zbl0112.36605MR0154293
  9. G. Vosmanská, Natural transformations of jet spaces, Thesis (Czech), Brno 1987. (1987) Zbl0676.58004

Citations in EuDML Documents

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  1. Jan Kurek, On natural operators on sectorform fields
  2. Jan Kurek, Włodzimierz M. Mikulski, The natural transformations between r-tangent and r-cotangent bundles over Riemannian manifolds
  3. Jan Kurek, Natural transformations of higher order cotangent bundle functors
  4. Gabriela Vosmanská, Natural transformations of semi-holonomic 3-jets
  5. Włodzimierz M. Mikulski, Natural transformations transforming vector fields into affinors on the extended r -th order tangent bundles
  6. Miroslav Doupovec, Ivan Kolář, Natural transformations of separated jets
  7. Włodzimierz M. Mikulski, Natural affinors on ( J r , s , q ( . , 1 , 1 ) 0 ) *

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