# Natural transformations of the second tangent functor into itself

Archivum Mathematicum (1984)

- Volume: 020, Issue: 4, page 169-172
- ISSN: 0044-8753

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top## How to cite

topKolář, Ivan. "Natural transformations of the second tangent functor into itself." Archivum Mathematicum 020.4 (1984): 169-172. <http://eudml.org/doc/18142>.

@article{Kolář1984,

author = {Kolář, Ivan},

journal = {Archivum Mathematicum},

keywords = {second tangent bundle; prolongation functor; natural; transformation},

language = {eng},

number = {4},

pages = {169-172},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Natural transformations of the second tangent functor into itself},

url = {http://eudml.org/doc/18142},

volume = {020},

year = {1984},

}

TY - JOUR

AU - Kolář, Ivan

TI - Natural transformations of the second tangent functor into itself

JO - Archivum Mathematicum

PY - 1984

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 020

IS - 4

SP - 169

EP - 172

LA - eng

KW - second tangent bundle; prolongation functor; natural; transformation

UR - http://eudml.org/doc/18142

ER -

## References

top- J. Janyška, [unknown], PhD thesis, to appear.
- I. Kolář, Structure morphisms of prolongation functors, Math. Slovaca 30 (1980), 83-93. (1980) MR0568217
- I. Kolář, On the second tangent bundle and generalized Lie derivatives, Tensor, N. S. 38 (1982), 98-102. (1982) MR0832633
- D. Krupka, Elementary theory of differential invariants, Arch. Math. (Brno), XIV (1978), 207-214. (1978) Zbl0428.58002MR0512763
- J. E. White, The method of iterated tangents with applications to local Riemannian geometry, Pitman Press, 1982. (1982)

## Citations in EuDML Documents

top- J. Rosický, Abstract tangent functors
- Ivan Kolář, Covariant approach to natural transformations of Weil functors
- Miroslav Doupovec, Natural liftings of $(0,2)$-tensor fields to the tangent bundle
- , Sixtieth birthday of Professor Ivan Kolář
- Ivan Kolář, Zbigniew Radziszewski, Natural transformations of second tangent and cotangent functors
- Gerd Kainz, Peter W. Michor, Natural transformations in differential geometry
- Miroslav Doupovec, Natural transformations between $TT{T}^{*}M$ and $T{T}^{*}TM$
- Alena Vanžurová, Natural transformations of the second tangent functor and soldered morphisms

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