Physics – Mathematical Physics
Scientific paper
2010-06-21
Physics
Mathematical Physics
accepted in Journal of Geometric Mechanics
Scientific paper
We describe the geometric structures involved in the variational formulation
of physical theories. In presence of these structures, the constitutive set of
a physical system can be generated by a family of functions. We discuss
conditions, under which a family of functions generates an immersed Lagrangian
submanifold. These conditions are given in terms of the Hessian of the family.
Tulczyjew Wlodzimierz M.
Urbanski Pawel
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