BIRS Workshop Lecture Videos
Finsler geometry from the elastic wave equation Ilmavirta, Joonas
The singularities of solutions of the elastic wave equation follow a certain flow on cotangent bundle. For a typical anisotropic stiffness tensor this not the cogeodesic of a Riemannian geometry. But with a tiny additional assumption the singularities of the fastest polarization do correspond to a Finsler geometry. I will discuss the arising geometrical structure and some recent results in Finsler geometry arising from elasticity.
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