Natural transformations between T²₁T*M and T*T²₁M

• Autorzy: Miroslav Doupovec
• Języki publikacji: EN

Abstrakty

EN

We determine all natural transformations T²₁T*→ T*T²₁ where $T^r_k M = J^r_0 (ℝ^k,M)$. We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 1
• Strony: 67-77

Daty

wydano

1991

otrzymano

1990-05-28

poprawiono

1990-08-01

Twórcy

autor

Miroslav Doupovec

• Department of Mathematics Technical University of Brno Technická 2 616 69 Brno Czechoslovakia

Bibliografia

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• [2] H. Gollek, Anwendungen der Jet-Theorie auf Faserbündel und Liesche Transformationsgruppen, Math. Nachr. 53 (1972), 161-180.
• [3] J. Janyška, Geometrical properties of prolongation functors, Čas. Pěst. Mat. 110 (1985), 77-86.
• [4] P. Kobak, Natural liftings of vector fields to tangent bundles of 1-forms, ibid., to appear.
• [5] I. Kolář and Z. Radziszewski, Natural transformations of second tangent and cotangent functors, Czechoslovak Math. J. 38 (113) (1988), 274-279.
• [6] I. Kolář, P. W. Michor and J. Slovák, Natural Operations in Differential Geometry, to appear.
• [7] M. Modugno and G. Stefani, Some results on second tangent and cotangent spaces, Quaderni dell'Instituto di Matematica dell'Università di Lecce, Q. 16, 1978.
• [8] A. Nijenhuis, Natural bundles and their general properties, in: Differential Geometry in honor of Yano, Kinokuniya, Tokyo 1972, 317-334