Generalized Lie bialgebroids and strong Jacobi-Nijenhuis structures.
New examples of compact cosymplectic solvmanifolds
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 geometric setting for classical field theories
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.
Page 1