The natural affinors on \((J^r T^{*,a})^*\). (English) Zbl 1050.58004

Mikulski, Włodzimierz M.

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 40, 179-184 (2001).

It is proved that for the \(r\)-th jet prolongation of the cotangent bundle \(J^rT^{*,a}M\) with negative weight \(a\), all natural affinors on its dual \((J^rT^{*,a}M)^*\) are constant multiples of the identity affinor whenever \(\dim M=n \geq 2\).

Reviewer: Jiří Tomáš (Brno)

MSC:

58A20	Jets in global analysis
53A55	Differential invariants (local theory), geometric objects

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