The natural transformations T T ( r ) T T ( r )

Włodzimierz M. Mikulski

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 1, page 71-75
  • ISSN: 0044-8753

Abstract

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For natural numbers r 2 and n a complete classification of natural transformations A : T T ( r ) T T ( r ) over n -manifolds is given, where T ( r ) is the linear r -tangent bundle functor.

How to cite

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Mikulski, Włodzimierz M.. "The natural transformations $TT^{(r)}\rightarrow TT^{(r)}$." Archivum Mathematicum 036.1 (2000): 71-75. <http://eudml.org/doc/248564>.

@article{Mikulski2000,
abstract = {For natural numbers $r\ge 2$ and $n$ a complete classification of natural transformations $A:TT^\{(r)\}\rightarrow TT^\{(r)\}$ over $n$-manifolds is given, where $T^\{(r)\}$ is the linear $r$-tangent bundle functor.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {bundle functors; natural transformations; bundle functors; natural transformations},
language = {eng},
number = {1},
pages = {71-75},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The natural transformations $TT^\{(r)\}\rightarrow TT^\{(r)\}$},
url = {http://eudml.org/doc/248564},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - The natural transformations $TT^{(r)}\rightarrow TT^{(r)}$
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 1
SP - 71
EP - 75
AB - For natural numbers $r\ge 2$ and $n$ a complete classification of natural transformations $A:TT^{(r)}\rightarrow TT^{(r)}$ over $n$-manifolds is given, where $T^{(r)}$ is the linear $r$-tangent bundle functor.
LA - eng
KW - bundle functors; natural transformations; bundle functors; natural transformations
UR - http://eudml.org/doc/248564
ER -

References

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  1. Natural affinors on the extended r -th order tangent bundles, Suppl. Rendiconti Circolo Mat. Palermo 30 (1993), 95–100. MR1246623
  2. Natural operations in differential geometry, Springer-Verlag, Berlin 1993. MR1202431
  3. On the order of natural operators and liftings, Ann. Polon. Math. 49 (1988), 169–178. MR0983220

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