Geodesic
Natural liftings of vector fields to tangent bundles of bundles of $1$-forms
Mathematica Bohemica, Tome 116 (1991) no. 3, pp. 319-326

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MR Zbl
Natural liftings $D:I\rightarrow ITT^*$ are classified for $n\geq 2$. It is proved that they form a 5-parameter family of operators.
Natural liftings $D:I\rightarrow ITT^*$ are classified for $n\geq 2$. It is proved that they form a 5-parameter family of operators.
DOI : 10.21136/MB.1991.126171
Classification : 53A55, 58A20
Keywords: natural operators; vector fields; prolongation of the flow; natural liftings; equivariant maps; natural bundles 
Kobak, Piotr. Natural liftings of vector fields to tangent bundles of bundles of $1$-forms. Mathematica Bohemica, Tome 116 (1991) no. 3, pp. 319-326. doi: 10.21136/MB.1991.126171
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[1] D. J. Eck: Product-preserving functors on smooth manifolds. J. Pure Appl. Algebra 42 (1986), 133-140. | DOI | MR | Zbl

[2] G. Kainz P. Michor: Natural transformations in differential geometry. Czechoslovak Math. J. 37 (112) (1987), 584-607. | MR

[З] I. Kolář: On the natural operators on vector fields. Ann. Glob. Anal. Geom. 6 (1) (1988), 109-117. | DOI | MR

[4] I. Kolář P. W. Michor J. Slovák: Natural operations in differential geometry. to appeaг.

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

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