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

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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

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  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

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

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