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Abstract for symplectic yang-mills fields

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Lutanda Panga, G., Azere Phiri, P. and Muyumba Kabwita, P.

In the realm of Abstract Differential Geometry (à la Mallios) according to Abstract Symplectic Geometry, we study symplectic Yang-Mills fields. We generalize the classical result established by K. Habermann, L. Habermann and P. Rosenthal about the variational principle to symplectic A-connections on a symplectic vector sheaf (E,σ). Special attention is given to the set of symplectic A-connections, ConnA(E,σ), and to the moduli space of the symplectic Yang-Mills fields.

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