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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)

2012/01/11 by Giuseppe Saccomandi, Raffaele Vitolo
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math-ph #math.HO #math.MP #msc:01-XX #physics.hist-ph

paper · pdf · doi:10.1134/s1560354712010091

published as Regular and Chaotic Dynamics Volume 17, Issue 1, pp. 105-112 (2012) · 12 pages

arxiv created 2012/01/11 · openalex publication_date 2012/02/01 · arxiv updated 2013/09/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations