Natural transformations transforming functions and vector fields to functions on some natural bundles

Włodzimierz M. Mikulski

Mathematica Bohemica (1992)

  • Volume: 117, Issue: 2, page 217-223
  • ISSN: 0862-7959

Abstract

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A classification of natural transformations transforming functions (or vector fields) to functions on such natural bundles which are restrictions of bundle functors is given.

How to cite

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Mikulski, Włodzimierz M.. "Natural transformations transforming functions and vector fields to functions on some natural bundles." Mathematica Bohemica 117.2 (1992): 217-223. <http://eudml.org/doc/29059>.

@article{Mikulski1992,
abstract = {A classification of natural transformations transforming functions (or vector fields) to functions on such natural bundles which are restrictions of bundle functors is given.},
author = {Mikulski, Włodzimierz M.},
journal = {Mathematica Bohemica},
keywords = {natural transformations; natural bundles; bundle functors; natural transformations; natural bundles; bundle functors},
language = {eng},
number = {2},
pages = {217-223},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural transformations transforming functions and vector fields to functions on some natural bundles},
url = {http://eudml.org/doc/29059},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Natural transformations transforming functions and vector fields to functions on some natural bundles
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 217
EP - 223
AB - A classification of natural transformations transforming functions (or vector fields) to functions on such natural bundles which are restrictions of bundle functors is given.
LA - eng
KW - natural transformations; natural bundles; bundle functors; natural transformations; natural bundles; bundle functors
UR - http://eudml.org/doc/29059
ER -

References

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  1. J. Gancarzewicz, Lifting of functions and vector fields to natural bundles, Dissertationes Mathematicae, 1982. (1982) MR0663216
  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, Sгní 1988, Suppl. Rendiconti Ciгcolo Mat. Palermo, Serie II, vol. 21, 1989, pp. 223-233. (1988) MR1009575
  4. A. Morimoto, Prolongation of connections to tangent bundles of infinitely neaг points, Ј. Diff. Geometгy 11 (1976), 479-498. (1976) MR0445422
  5. A. Nijenhuis, Natural bundles and theiг general pгoperties, Diffeгential Geometry, Kinokuniya, Tokio, 1972, pp. 317-343. (1972) MR0380862

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