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Displaying similar documents to “On k -Hamilton geometry.”

Some natural operations between connections on fibred manifolds

Doupovec, Miroslav, Vondra, Alexandr

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Given a fibered manifold Y X , a 2-connection on Y means a section J 1 Y J 2 Y . The authors determine all first order natural operators transforming a 2-connection on Y and a classical linear connection on X into a connection on J 1 Y Y . (The proof implies that there is no first order natural operator transforming 2-connections on Y into connections on J 1 Y Y .) Using this result, the authors deduce several properties of characterizable connections on J 1 Y X .