Regularity of generating families of functions
| Autor: | Tulczyjew, Wlodzimierz M., Urbanski, Pawel |
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| Rok vydání: | 2010 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: accepted in Journal of Geometric Mechanics |
| Databáze: | arXiv |
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