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

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 \(\dim M=n \geq 2\).


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