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Almost symplectic structures on the linear frame bundle from linear connection

DOI: 10.2478/v10062-009-0005-y

Keywords: Classical linear connection, almost symplectic structure, linear frame bundle, natural operator

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Abstract:

We describe all M fm-natural operators S: Q Symp P1 transforming classical linear connections on m-dimensional manifolds M into almost symplectic structures S( ) on the linear frame bundle P1M over M.

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