Geodesic
Natural transformations between $TTT^*M$ and $TT^*TM$
Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 599-613
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DOI : 10.21136/CMJ.1993.128434
Classification : 53A55, 53C05, 58A20 
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Doupovec, Miroslav. Natural transformations between $TTT^*M$ and $TT^*TM$. Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 599-613. doi: 10.21136/CMJ.1993.128434

[1] M. Doupovec: Natural operators transforming vector fields to the second order tangent bundle. Čas. pěst. mat. 115 (1990), 64–72. | MR | Zbl

[2] M. Doupovec: Natural transformations between $T^2_1T^*M$ and $T^*T^2_1M$. Ann. Polon. Math. 56 (1991), 67–77. | DOI | MR | Zbl

[3] G. Kainz, P.W. Michor: Natural transformations in differential geometry. Czech. Math. J. 37 (1987), 584–607. | MR

[4] P. Kobak: Natural liftings of vector fields to tangent bundles of bundles of 1-forms. Mathematica Bohemica 116 (1991), 319–326. | MR | Zbl

[5] I. Kolář: Natural transformations of the second tangent functor into itself. Arch. Math.(Brno) XX (1984), 169–172. | MR

[6] I. Kolář: On the natural operators on vector fields. Ann. Global Anal. Geom. 6 (1988), 109–117. | DOI | MR

[7] I. Kolář, Z. Radziszewski: Natural transformations of second tangent and cotangent functors. Czech. Math. J. 38(113) (1988), 274–279. | MR

[8] I. Kolář, M. Modugno: Torsions of connections on some natural bundles. Differential Geometry and its Applications 2 (1992), 1–16. | MR

[9] I. Kolář, P.W. Michor, J. Slovák: Natural operations in differential geometry. Springer Verlag, 1993. | MR

[10] M. Modugno, G. Stefani: Some results on second tangent and cotangent spaces. Quaderni dell’ Instituto di Matematica dell’ Universita di Lecce Q.16 (1978).

[11] A. Nijenhuis: Natural bundles and their general properties. Diff. Geometry in honor of K. Yano, Kinokuniya,Tokyo (1972), 317–334. | MR | Zbl

[12] J. E. White: The method of iterated tangents with applications in local Riemannian geometry. Pitman Press, London, 1982. | MR | Zbl

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