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Natural vector fields on tangent bundles. (English) Zbl 0822.58002
The main result of the paper is that every vector field on the tangent bundle depending analytically and naturally on a linear connection is a linear combination of a geodesic semispray and a Liouville vector field, the coefficients of which are scalar invariants. A similar result holds for the first order natural operators defined on metric fields.
Reviewer: I.Kolář (Brno)
MSC:
58A20 Jets in global analysis
53A55 Differential invariants (local theory), geometric objects
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