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In this paper we present new examples of -dimensional compact cosymplectic manifolds which are not topologically equivalent to the canonical examples, i.e., to the product of the -dimensional real torus and the -dimensional complex projective space, with and These new examples are compact solvmanifolds and they are constructed as suspensions with fibre the -dimensional real torus. In the particular case using the examples obtained, we conclude that a -dimensional compact flat orientable...
A new geometrical setting for classical field theories is introduced. This description is strongly inspired by the one due to Skinner and Rusk for singular lagrangian systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included.
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