Natural transformations of second tangent and cotangent functors

Ivan Kolář; Zbigniew Radziszewski

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 2, page 274-279
  • ISSN: 0011-4642

How to cite

top

Kolář, Ivan, and Radziszewski, Zbigniew. "Natural transformations of second tangent and cotangent functors." Czechoslovak Mathematical Journal 38.2 (1988): 274-279. <http://eudml.org/doc/13702>.

@article{Kolář1988,
author = {Kolář, Ivan, Radziszewski, Zbigniew},
journal = {Czechoslovak Mathematical Journal},
keywords = {cotangent functors; tangent functors; natural transformations; symplectic structure},
language = {eng},
number = {2},
pages = {274-279},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural transformations of second tangent and cotangent functors},
url = {http://eudml.org/doc/13702},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Kolář, Ivan
AU - Radziszewski, Zbigniew
TI - Natural transformations of second tangent and cotangent functors
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 274
EP - 279
LA - eng
KW - cotangent functors; tangent functors; natural transformations; symplectic structure
UR - http://eudml.org/doc/13702
ER -

References

top
  1. C. Godbillon, Géométrie différentielle et méchanique analytique, Paris 1969. (1969) Zbl0174.24602MR0242081
  2. /. Janyska, Geometrical properties of prolongation functors, Čas. pro pěst. mat. 110 (1985), 77-86. (1985) Zbl0582.58002MR0791280
  3. G. Kainz P. Michor, Natural transformations in differential geometry, to appear in Czech. Math. J. MR0913992
  4. I. Kolář, On the second tangent bundle and generalized Lie derivatives, Tensor, N.S., 38 (1982), 98-102. (1982) MR0832633
  5. I. Kolář, Natural transformations of the second tangent functor into itself, Arch. Math. (Brno), XX(1984), 169-172. (1984) MR0784868
  6. I. Kolář Z. Radziszewski, Some G L ( n , R ) -equivariant smooth maps, Seminar report, Brno 1986. (1986) 
  7. M. Modugno G. Stefani, Some results on second tangent and cotangent spaces, Quaderni dell'Istituto di Matematica dell' Università di Lecce, Q. 16, 1978. (1978) 
  8. A. Nijenhuis, Natural bundles and their general properties, Differential Geometry, in honour of K. Yano, Kinokuniya, Tokyo, 1972, 317-334. (1972) Zbl0246.53018MR0380862
  9. R. S. Palais С. L. Terng, 10.1016/0040-9383(77)90008-8, Topology 16 (1977), 271 - 277. (1977) MR0467787DOI10.1016/0040-9383(77)90008-8

Citations in EuDML Documents

top
  1. Miroslav Doupovec, Natural transformations between T²₁T*M and T*T²₁M
  2. Piotr Kobak, Natural liftings of vector fields to tangent bundles of bundles of 1 -forms
  3. Alena Vanžurová, Soldered double linear morphisms
  4. Miroslav Doupovec, Natural liftings of ( 0 , 2 ) -tensor fields to the tangent bundle
  5. Miroslav Doupovec, Natural transformations between T T T * M and T T * T M
  6. Alena Vanžurová, Natural transformations of the second tangent functor and soldered morphisms

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.