The canonical tensor fields of type ( 1 , 1 ) on ( J r ( ⊙ 2 T * ) ) * Paweł Michalec (2003) Archivum Mathematicum Similarity: We prove that every natural affinor on ( J r ( ⊙ 2 T * ) ) * ( M ) is proportional to the identity affinor if dim M ≥ 3 .
The natural operators lifting vector fields to ( J r T * ) * Włodzimierz M. Mikulski (2000) Archivum Mathematicum Similarity: For integers r ≥ 2 and n ≥ 2 a complete classification of all natural operators A : T | M n ⇝ T ( J r T * ) * lifting vector fields to vector fields on the natural bundle ( J r T * ) * dual to r -jet prolongation J r T * of the cotangent bundle over n -manifolds is given.