A slow and careful Legendre transformation for singular Lagrangians
arXiv:math-ph/9909029
Abstract
A comparative analysis of two different versions of the Legendre transformation is presented. We provide an almost complete although somewhat superficial review of the geometric background for analytical mechanics. Complete coordinate characterizations of all structures are provided. Intrinsic constructions of most of the objects are given. Examples of applications to a number of physical systems is given
50 pages, LamsTeX. To appear in Acta Physica Polonica
Cited by in corpus (7)
- Higher vector bundles and multi-graded symplectic manifolds
- On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective
- Retraction maps: a seed of geometric integrators
- Tulczyjew Triples in Higher Derivative Field Theory
- Tulczyjew triples: from statics to field theory
- A Hamilton-Jacobi theory for implicit differential systems
- Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings