Regularity of generating families of functions

Włodzimierz M. Tulczyjew; Paweł Urbański

doi:10.3934/jgm.2010.2.199

Article Contents

2010, Volume 2, Issue 2: 199-221. Doi: 10.3934/jgm.2010.2.199

This issue Previous Article Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics Next Article

Regularity of generating families of functions

Włodzimierz M. Tulczyjew^1, and
Paweł Urbański^2,

1.
Valle San Benedetto, 2, 62030 Monte Cavallo
2.
Division of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warszawa

Received: February 2010

Revised: June 2010

Published: June 2010

Abstract / Introduction Related Papers Cited by

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:

Mathematics Subject Classification: Primary: 53D12, 70G75; Secondary: 70H99, 49S05.

Citation:

Article Metrics

HTML views() PDF downloads(57) Cited by(0)

Regularity of generating families of functions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Regularity of generating families of functions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content