Lifting vector fields from manifolds to r -jet prolongation of the tangent bundle

Jan Kurek; Wlodzimierz M. Mikulski

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Lifting vector fields from manifolds to r -jet prolongation of the tangent bundle

Autores: Jan Kurek, Wlodzimierz M. Mikulski
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 1, 2020, págs. 161-168
Idioma: inglés
DOI: 10.33044/revuma.v61n1a10
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Resumen
- If m≥3 and r≥0, we deduce that any natural linear operator lifting vector fields from an m-manifold M to the r-jet prolongation JʳTM of the tangent bundle TM is the composition of the flow lifting Jʳ corresponding to the r-jet prolongation functor Jʳ with a natural linear operator lifting vector fields from M toTM. If 0≤s≤ and m≥3, we find all natural linear operators transforming vector fields on M into base-preserving fibred maps JʳTM→JˢTM→JˢTM
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