Natural transformations of the covelocities functors into some natural bundles

Włodzimierz M. Mikulski

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 3, page 277-280
  • ISSN: 0862-7959

Abstract

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In this paper are determined all natural transformations of the natural bundle of ( g , r ) -covelocities over n -manifolds into such a linear natural bundle over n -manifolds which is dual to the restriction of a linear bundle functor, if n q .

How to cite

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Mikulski, Włodzimierz M.. "Natural transformations of the covelocities functors into some natural bundles." Mathematica Bohemica 118.3 (1993): 277-280. <http://eudml.org/doc/29077>.

@article{Mikulski1993,
abstract = {In this paper are determined all natural transformations of the natural bundle of $(g,r)$-covelocities over $n$-manifolds into such a linear natural bundle over $n$-manifolds which is dual to the restriction of a linear bundle functor, if $n\ge q$.},
author = {Mikulski, Włodzimierz M.},
journal = {Mathematica Bohemica},
keywords = {covelocities functors; natural transformations; natural bundle; covelocities functors; natural transformations; natural bundle},
language = {eng},
number = {3},
pages = {277-280},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural transformations of the covelocities functors into some natural bundles},
url = {http://eudml.org/doc/29077},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Natural transformations of the covelocities functors into some natural bundles
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 3
SP - 277
EP - 280
AB - In this paper are determined all natural transformations of the natural bundle of $(g,r)$-covelocities over $n$-manifolds into such a linear natural bundle over $n$-manifolds which is dual to the restriction of a linear bundle functor, if $n\ge q$.
LA - eng
KW - covelocities functors; natural transformations; natural bundle; covelocities functors; natural transformations; natural bundle
UR - http://eudml.org/doc/29077
ER -

References

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  1. J. Boman, 10.7146/math.scand.a-10835, Math. Scand. 20 (1967), 249-268. (1967) MR0237728DOI10.7146/math.scand.a-10835
  2. T. Klein, Connections on higher order tangent bundles, Čas. Pěst. Mat. 106 (1981), 414-421. (1981) Zbl0497.58003MR0637822
  3. I. Kolář, J. Slovák, On the geometric functors on manifolds, Proceedings of the Winter School on Geometry and Physics, Srní 1988, Suppl. Rendiconti Circolo Mat. Palermo, Serie II 21, 1989, pp. 223-233. (1988) MR1009575
  4. J. Kurek, Natural transformations of higher order covelocities functor, Annales UMCS to appear. Zbl0778.53016MR1322141
  5. A. Nijenhuis, Natural bundles and their general properties, Differential Geometry in Honor of K. Yano, Kinokuniya, Tokio, 1972, pp. 317-343. (1972) Zbl0246.53018MR0380862

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