**Authors:** Radu Miron

**Keywords:** Generalized Lagrangian system, Lagrange equations, generalized kinetic energy.

### Abstract

A generalized Lagrangian mechanics is a triple Σ

_{GL} = (M, ε, F

_{e}) formed by a real

*n*-dimensional manifold

*M*, the generalized kinetic energy ε and the external forces F

_{e}. The Lagrange equations (or fundamental equations) can be defined for a generalized Lagrangian mechanical system Σ

_{GL}. We get a straightforward extension of the notions of Riemannian, or Finslerian, or Lagrangian mechanical systems studied in the recent book [7]. The applications of this systems in Mechanics, Physical Fields or Relativistic Optics are pointed out. Much more information can be found in the books or papers from References [1-10].

"Al. Ioan Cuza" University, Iaşi, România

E-mail:

### Fulltext

–

0.11 Mb