Natural differential operators between some natural bundles
Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 153-161
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Let $F$ and $G$ be two natural bundles over $n$-manifolds. We prove that if $F$ is of type (I) and $G$ is of type (II), then any natural differential operator of $F$ into $G$ is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.
DOI :
10.21136/MB.1993.126052
Classification :
53A55, 58A20
Keywords: natural bundles; natural differential operators
Keywords: natural bundles; natural differential operators
@article{10_21136_MB_1993_126052,
author = {Mikulski, W. M.},
title = {Natural differential operators between some natural bundles},
journal = {Mathematica Bohemica},
pages = {153--161},
publisher = {mathdoc},
volume = {118},
number = {2},
year = {1993},
doi = {10.21136/MB.1993.126052},
mrnumber = {1223480},
zbl = {0777.58004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126052/}
}
TY - JOUR AU - Mikulski, W. M. TI - Natural differential operators between some natural bundles JO - Mathematica Bohemica PY - 1993 SP - 153 EP - 161 VL - 118 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126052/ DO - 10.21136/MB.1993.126052 LA - en ID - 10_21136_MB_1993_126052 ER -
Mikulski, W. M. Natural differential operators between some natural bundles. Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 153-161. doi: 10.21136/MB.1993.126052
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