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Friday 19 April

14h00 – 15h00, CPT, Amphi 5

Refraction and Reflexion According to The Principle of General Covariance

Patrick IGLESIAS (Institut de Mathématiques de Marseille I2M)

I will show how the principle of general covariance, introduced by Souriau in smoothly uniform contexts, can be extended to singular situations where the metric is discontinuous along a hypersurface. I will show then how to recover the principle of refraction of geodesics, in particular, by determining the Underdetermined differential system thanks to symplectic scattering.

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