Natural transformations transforming vector fields into affinors on the extended -th order tangent bundles
Archivum Mathematicum (1993)
- Volume: 029, Issue: 1-2, page 59-70
- ISSN: 0044-8753
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topMikulski, 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
top- Natural affinors on the extended -th order tangent bundles, Winter school of Geometry and Physics, Srni 1991, Supl. Rendiconti Circolo Mat. Palermo, in press.
- 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
- Natural transformations of higher order tangent bundles and jet spaces, Čas. pěst. mat. 114 (1989), 181-186. (1989) MR1063764
- Natural transformations transforming functions and vector fields to functions on some natural bundles, Mathematica Bohemica 117 (1992), 217-223. (1992) Zbl0810.58004MR1165899
- Some natural operations on vector fields, Rendiconti di Matematica (Roma) VII (12) (1992), 783-803. (1992) Zbl0766.58005MR1205977
- 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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