The Journal of Geometric Mechanics: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=17 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13883 Second-order constrained variational problems on Lie algebroids: Applications to optimal control http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13883 Leonardo Colombo Wed, 1 Mar 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13884 Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13884     It is also shown that the natural interpretation of the Euler-Lagrange equations as an evolution system near the boundary leads to a presymplectic Hamiltonian system in an extended phase space containing the natural configuration and momenta fields at the boundary together with extra degrees of freedom corresponding to the transversal components at the boundary of the momenta fields of the theory. The consistency conditions for evolution at the boundary are analyzed and the reduced phase space of the system is shown to be a symplectic manifold with a distinguished isotropic submanifold corresponding to the boundary data of the solutions of Euler-Lagrange equations. This setting makes it possible to define well-posed boundary conditions, and provides the adequate setting for the canonical quantization of the system.
    The notions of the theory are tested against three significant examples: scalar fields, Poisson $\sigma$-model and Yang-Mills theories. ]]>
Alberto Ibort and Amelia Spivak Wed, 1 Mar 2017 08:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13885 The $2$-plectic structures induced by the Lie bialgebras http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13885 Mohammad Shafiee Wed, 1 Mar 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13886 Uniform motions in central fields http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13886 Martin Swaczyna and Petr Volný Wed, 1 Mar 2017 08:00:00 GMT