The canonical tensor fields of type ( 1 , 1 ) on ( J r ( ⊙ 2 T * ) ) * Paweł Michalec — 2003 Archivum Mathematicum We prove that every natural affinor on ( J r ( ⊙ 2 T * ) ) * ( M ) is proportional to the identity affinor if dim M ≥ 3 .