Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations
نویسندگان
چکیده
منابع مشابه
The natural operators lifting 1 - forms to the r - jet prolongation of the cotangent bundle 1
First, we classify all natural operators T |M fn T (0,0)(Jr T ∗) transforming vector fields to functions on the r -jet prolongation Jr T ∗ of the cotangent bundle. Next, we classify natural operators T ∗|M fn T ∗(Jr T ∗) lifting 1-forms from n-manifolds to Jr T ∗. As an application we prove that for r ≥ 1 there is no canonical symplectic structure on Jr T ∗. We also solve similar problems with ...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2003
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap82-2-6