Regularity of generating families of functions
Mathematical Physics
2010-06-23 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1006.4183,
title = {Regularity of generating families of functions},
author = {Wlodzimierz M. Tulczyjew and Pawel Urbanski},
journal= {arXiv preprint arXiv:1006.4183},
year = {2010}
}
Comments
accepted in Journal of Geometric Mechanics