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The most general action, quadratic in the B fields as well as in thecurvature F, having SO(3,1) or SO(4) as the internal gauge group for afour-dimensional BF theory is presented and its symplectic geometry isdisplayed. It is shown that the space of solutions to the equations of motionfor the BF theory can be endowed with symplectic structures alternative to theusual one. The analysis also includes topological terms and cosmologicalconstant. The implications of this fact for gravity are briefly discussed.Comment: 13 pages, LaTeX file, no figure

Alternative symplectic structures for SO (3, 1) and SO (4) four-dimensional BF theories