A Translation of the T. Levi-Civita paper "Interpretazione Gruppale degli Integrali di un Sistema Canonico" (Rend. Acc. Lincei, 1899, s. 3<sup>a</sup>, vol.VII, pp. 235–238)

2012, Volume 17, Number 1, pp. 105-112

Author(s): Saccomandi G., Vitolo R.

In this paper we provide a translation of a paper by T. Levi-Civita, published in 1899, about the correspondence between symmetries and conservation laws for Hamilton’s equations. We discuss the results of this paper and their relationship with the more general classical results by E. Noether.

Keywords: Levi-Civita, point symmetries, conservation laws, Hamilton’s equations, Noether’s theorem

Citation: Saccomandi G., Vitolo R., A Translation of the T. Levi-Civita paper "Interpretazione Gruppale degli Integrali di un Sistema Canonico" (Rend. Acc. Lincei, 1899, s. 3^a, vol.VII, pp. 235–238), Regular and Chaotic Dynamics, 2012, Volume 17, Number 1, pp. 105-112

DOI: 10.1134/S1560354712010091

Access to the full text on the Springer website