Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations

Włodzimierz M. Mikulski

Annales Polonici Mathematici (2003)

  • Volume: 82, Issue: 2, page 155-170
  • ISSN: 0066-2216

Abstract

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All natural operators A transforming a linear vector field X on a vector bundle E into a vector field A(X) on the r-jet prolongation J r E of E are given. Similar results are deduced for the r-jet prolongations J v r E and J [ r ] E in place of J r E .

How to cite

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Włodzimierz M. Mikulski. "Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations." Annales Polonici Mathematici 82.2 (2003): 155-170. <http://eudml.org/doc/280193>.

@article{WłodzimierzM2003,
abstract = {All natural operators A transforming a linear vector field X on a vector bundle E into a vector field A(X) on the r-jet prolongation $J^rE$ of E are given. Similar results are deduced for the r-jet prolongations $J^r_\{v\}E$ and $J^\{[r]\}E$ in place of $J^rE$.},
author = {Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {natural operator; jet prolongation; natural functor},
language = {eng},
number = {2},
pages = {155-170},
title = {Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations},
url = {http://eudml.org/doc/280193},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Włodzimierz M. Mikulski
TI - Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 2
SP - 155
EP - 170
AB - All natural operators A transforming a linear vector field X on a vector bundle E into a vector field A(X) on the r-jet prolongation $J^rE$ of E are given. Similar results are deduced for the r-jet prolongations $J^r_{v}E$ and $J^{[r]}E$ in place of $J^rE$.
LA - eng
KW - natural operator; jet prolongation; natural functor
UR - http://eudml.org/doc/280193
ER -

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