Natural transformations transforming vector fields into affinors on the extended r -th order tangent bundles

Włodzimierz M. Mikulski

Archivum Mathematicum (1993)

  • Volume: 029, Issue: 1-2, page 59-70
  • ISSN: 0044-8753

Abstract

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A classification of natural transformations transforming vector fields on n -manifolds into affinors on the extended r -th order tangent bundle over n -manifolds is given, provided n 3 .

How to cite

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Mikulski, Włodzimierz M.. "Natural transformations transforming vector fields into affinors on the extended $r$-th order tangent bundles." Archivum Mathematicum 029.1-2 (1993): 59-70. <http://eudml.org/doc/247451>.

@article{Mikulski1993,
abstract = {A classification of natural transformations transforming vector fields on $n$-manifolds into affinors on the extended $r$-th order tangent bundle over $n$-manifolds is given, provided $n\ge 3$.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {natural bundle; natural transformation; natural transformations; vector fields; affinors},
language = {eng},
number = {1-2},
pages = {59-70},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural transformations transforming vector fields into affinors on the extended $r$-th order tangent bundles},
url = {http://eudml.org/doc/247451},
volume = {029},
year = {1993},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Natural transformations transforming vector fields into affinors on the extended $r$-th order tangent bundles
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 1-2
SP - 59
EP - 70
AB - A classification of natural transformations transforming vector fields on $n$-manifolds into affinors on the extended $r$-th order tangent bundle over $n$-manifolds is given, provided $n\ge 3$.
LA - eng
KW - natural bundle; natural transformation; natural transformations; vector fields; affinors
UR - http://eudml.org/doc/247451
ER -

References

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  1. Natural affinors on the extended r -th order tangent bundles, Winter school of Geometry and Physics, Srni 1991, Supl. Rendiconti Circolo Mat. Palermo, in press. 
  2. On the geometric functors on manifolds, Proceedings of the Winter school on Geometry and Physics, Srni 1988, Supl, Rendiconti Circolo Mat. Palermo (21) 1989, 223-233. MR1009575
  3. Natural transformations of higher order tangent bundles and jet spaces, Čas. pěst. mat. 114 (1989), 181-186. (1989) MR1063764
  4. Natural transformations transforming functions and vector fields to functions on some natural bundles, Mathematica Bohemica 117 (1992), 217-223. (1992) Zbl0810.58004MR1165899
  5. Some natural operations on vector fields, Rendiconti di Matematica (Roma) VII (12) (1992), 783-803. (1992) Zbl0766.58005MR1205977
  6. Natural bundles and their general properties, in Differential Geometry in Honor of K. Yano, Kinokuniya (Tokyo) (1972), 317-343. (1972) Zbl0246.53018MR0380862

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