The geodesics for Poincar\'e's half-plane: a nonstandard derivation

Autor:	Gorni, Gianluca, Zampieri, Gaetano
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs 34C14 37C79
Druh dokumentu:	Working Paper
Popis:	Constants of motion are usually derived from groups of symmetry transformation of the system. Here we show that useful properties of the system can be deduced from a family of Noether-like transformations that are not inspired by any symmetry whatsoever. The system here is the Lagrangian interpretation of Poincar\'e's half plane, and the property is the shape of the geodesics.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.10879 Zobrazit plný text záznamu View this record from Arxiv