This article is cited in 2 papers

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

Giuseppe Saccomandi^a, Raffaele Vitolo<sup>b

a</sup> Dipartimento di Ingegneria Industriale, Università degli Studi di Perugia, Via Duranti 1, 06125 Perugia
^b Dipartimento di Matematica, Università del Salento, Via per Arnesano, 73100 Lecce

Abstract: 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.

MSC: 01-XX

Received: 11.11.2011
Accepted: 09.01.2012

Language: English

DOI: 10.1134/S1560354712010091