Abstract.
A generalized symplectic structure on the bundle of connections \(p\colon C(P)\rightarrow M\) of an arbitrary principal G-bundle \(\pi\colon P\rightarrow M\) is defined by means of a \(p^{\ast}\mathrm{ad}P\)-valued differential 2-form \(\Omega_{2}\) on C(P), which is related to the generalized contact structure on \(J^{1}(P)\). The Hamiltonian properties of \(\Omega_{2}\) are also analyzed.
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Received August 31, 1999; in final form January 4, 2000 / Published online February 5, 2001
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López, M., Masqué, J. The geometry of the bundle of connections. Math Z 236, 797–811 (2001). https://doi.org/10.1007/PL00004852
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DOI: https://doi.org/10.1007/PL00004852