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Liftings of 1-forms to some non product preserving bundles. (English) Zbl 0940.53011
Slovák, Jan (ed.) et al., Proceedings of the 17th winter school “Geometry and physics”, Srní, Czech Republic, January 11-18, 1997. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 54, 25-32 (1998).
Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold $$M$$. First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.
For the entire collection see [Zbl 0904.00040].
##### MSC:
 53A55 Differential invariants (local theory), geometric objects 58A20 Jets in global analysis
##### Keywords:
natural operator; higher-order cotangent bundles