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Natural transformations of semi-holonomic 3-jets

Gabriela Vosmanská — 1995

Archivum Mathematicum

Let J ¯ 3 be the functor of semi-holonomic 3 -jets and J ¯ 3 , 2 be the functor of those semi-holonomic 3 -jets, which are holonomic in the second order. We deduce that the only natural transformations J ¯ 3 → J ¯ 3 are the identity and the contraction. Then we determine explicitely all natural transformations J ¯ 3 , 2 → J ¯ 3 , 2 , which form two 5 -parameter families.

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