Geometric mechanics and Hamilton-Jacobi theory
Tutor / directorGràcia Sabaté, Francesc Xavier
Document typeBachelor thesis
Rights accessOpen Access
A review of analytical mechanics in the language of differential geometry is given. The classical formulations of Newton, Lagrange and Hamilton are discussed in detail, with special interest in the Hamilton-Jacobi equation. The latter is studied in a new framework, which allows to identify the interesting geometric structures underlying the classical Hamilton-Jacobi theory. Some relevant examples are analysed in this context.
DegreeGRAU EN MATEMÀTIQUES (Pla 2009)