Article Dans Une Revue Journal of Geometry and Physics Année : 2019

REFRACTION AND REFLEXION ACCORDING TO THE PRINCIPLE OF GENERAL COVARIANCE

Résumé

We show how the principle of general covariance introduced by Souriau in smoothly uniform contexts, can be extended to singular situations , considering the group of diffeomorphisms preserving the singular locus. As a proof of concept, we shall see how we get again this way, the laws of reflection and refraction in geometric optics, applying an extended general covariance principle to Riemannian metrics, discontinuous along a hypersurface.

Fichier principal
Vignette du fichier
RARATGCP.pdf (809.34 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-02401456 , version 1 (10-12-2019)

Licence

Identifiants

  • HAL Id : hal-02401456 , version 1

Citer

Patrick Iglesias-Zemmour. REFRACTION AND REFLEXION ACCORDING TO THE PRINCIPLE OF GENERAL COVARIANCE. Journal of Geometry and Physics, 2019. ⟨hal-02401456⟩
52 Consultations
214 Téléchargements

Partager

  • More