The natural operators lifting vector fields to the bundle of affinors
Jan Kurek; Włodzimierz Mikulski
Annales UMCS, Mathematica (2008)
- Volume: 62, Issue: 1, page 75-80
- ISSN: 2083-7402
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topJan Kurek, and Włodzimierz Mikulski. "The natural operators lifting vector fields to the bundle of affinors." Annales UMCS, Mathematica 62.1 (2008): 75-80. <http://eudml.org/doc/268055>.
@article{JanKurek2008,
abstract = {All natural operators T ↝ T(T ⊗ T*) lifting vector fields X from n-dimensional manifolds M to vector fields B(X) on the bundle of affinors ™ ⊗ T*M are described.},
author = {Jan Kurek, Włodzimierz Mikulski},
journal = {Annales UMCS, Mathematica},
keywords = {Natural bundles; natural operators; natural bundle; natural operator; affinor},
language = {eng},
number = {1},
pages = {75-80},
title = {The natural operators lifting vector fields to the bundle of affinors},
url = {http://eudml.org/doc/268055},
volume = {62},
year = {2008},
}
TY - JOUR
AU - Jan Kurek
AU - Włodzimierz Mikulski
TI - The natural operators lifting vector fields to the bundle of affinors
JO - Annales UMCS, Mathematica
PY - 2008
VL - 62
IS - 1
SP - 75
EP - 80
AB - All natural operators T ↝ T(T ⊗ T*) lifting vector fields X from n-dimensional manifolds M to vector fields B(X) on the bundle of affinors ™ ⊗ T*M are described.
LA - eng
KW - Natural bundles; natural operators; natural bundle; natural operator; affinor
UR - http://eudml.org/doc/268055
ER -
References
top- Dębecki, J., Natural transformations of affinors into functions and affinors, Suppl. Rend. Circolo Mat. Palermo30(II) (1993), 101-112. Zbl0816.58002
- Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. Zbl0782.53013
- Mikulski, W. M., Liftings of 1-forms to the bundle of affinors, Ann. Univ. Mariae Curie-Skłodowska Sect. A 65 (2001), 109-113.
- Zajtz, A., On the order of natural differential operators and liftings, Ann. Polon. Math. 49 (1988), 169-175. Zbl0714.58059
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