Geodesic
Natural operators transforming vector fields to the second order tangent bundle
Časopis pro pěstování matematiky, Tome 115 (1990) no. 1, pp. 64-72

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DOI : 10.21136/CPM.1990.108718
Classification : 58A05 
Doupovec, Miroslav. Natural operators transforming vector fields to the second order tangent bundle. Časopis pro pěstování matematiky, Tome 115 (1990) no. 1, pp. 64-72. doi: 10.21136/CPM.1990.108718
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1990.108718/}
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[1] J. A. Dieudonné J. B. Carrell: Invariant Theoгy, Old and New. Academic Press, New York-London, 1971. | MR

[2] J. Janyška: Geometrical properties of prolongation functors. Časopis pӗst. mat. 110 (1985), 77-86. | MR

[3] T. Klein: Connections on higheг oгdeг tangent bundles. Časopis pěst. mat. 106 (1981), 414-421. | MR

[4] I. Kolář: Some natuгal opeгators in differential geometry. Differential geometry and its applications, Bгno, 1986, Proceedings, D. Reidel, 1987, 91-110.

[5] I. Kolář: Some natural operators with connections. to appear. | MR

[6] I. Kolář: On the natuгal opeгatoгs on vector fields. to appeaг.

[7] A. Nijenhuis: Natuгal bundles and their general properties. Diff. Geometry in honor of K. Yano, Kinokuniya, Tokyo, 1972, 317-334. | MR

[8] R. S. Palais C. L. Terng: Natural bundles have finite order. Topology, Vol. 16 (1977), 271-277. | MR

[9] F. W. Pohl: Differential geometry of higher order. Topology, 1 (1962), 169-211. | MR | Zbl

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