Geodesic
Natural transformations of the covelocities functors into some natural bundles
Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 277-280

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
In this paper are determined all natural transformations of the natural bundle of $(g,r)$-covelocities over $n$-manifolds into such a linear natural bundle over $n$-manifolds which is dual to the restriction of a linear bundle functor, if $n\geq q$.
In this paper are determined all natural transformations of the natural bundle of $(g,r)$-covelocities over $n$-manifolds into such a linear natural bundle over $n$-manifolds which is dual to the restriction of a linear bundle functor, if $n\geq q$.
DOI : 10.21136/MB.1993.125923
Classification : 53A55, 58A20
Keywords: covelocities functors; natural transformations; natural bundle 
Mikulski, W. M. Natural transformations of the covelocities functors into some natural bundles. Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 277-280. doi: 10.21136/MB.1993.125923
@article{10_21136_MB_1993_125923,
     author = {Mikulski, W. M.},
     title = {Natural transformations of the covelocities functors into some natural bundles},
     journal = {Mathematica Bohemica},
     pages = {277--280},
     year = {1993},
     volume = {118},
     number = {3},
     doi = {10.21136/MB.1993.125923},
     mrnumber = {1239122},
     zbl = {0786.58001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125923/}
}
TY  - JOUR
AU  - Mikulski, W. M.
TI  - Natural transformations of the covelocities functors into some natural bundles
JO  - Mathematica Bohemica
PY  - 1993
SP  - 277
EP  - 280
VL  - 118
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125923/
DO  - 10.21136/MB.1993.125923
LA  - en
ID  - 10_21136_MB_1993_125923
ER  - 
%0 Journal Article
%A Mikulski, W. M.
%T Natural transformations of the covelocities functors into some natural bundles
%J Mathematica Bohemica
%D 1993
%P 277-280
%V 118
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125923/
%R 10.21136/MB.1993.125923
%G en
%F 10_21136_MB_1993_125923

[1] J. Boman: Differentiability of functions and of its compositions with functions of one variable. Math. Scand. 20 (1967), 249-268. | DOI | MR

[2] T. Klein: Connections on higher order tangent bundles. Čas. Pěst. Mat. 106 (1981), 414-421. | MR | Zbl

[3] I. Kolář, J. Slovák: On the geometric functors on manifolds. Proceedings of the Winter School on Geometry and Physics, Srní 1988, Suppl. Rendiconti Circolo Mat. Palermo, Serie II 21, 1989, pp. 223-233. | MR

[4] J. Kurek: Natural transformations of higher order covelocities functor. Annales UMCS to appear. | MR | Zbl

[5] A. Nijenhuis: Natural bundles and their general properties. Differential Geometry in Honor of K. Yano, Kinokuniya, Tokio, 1972, pp. 317-343. | MR | Zbl

Cité par Sources :