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arXiv · 2209.10879

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

Gianluca Gorni·Gaetano Zampieri
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Abstract

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.

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Gianluca Gorni, Gaetano Zampieri. 2022-09-22. The geodesics for Poincar\'e's half-plane: a nonstandard derivation. https://arxiv.org/abs/2209.10879

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