TY - ELEC
AU - Joonas Ilmavirta
PY - 2019
TI - Finsler geometry from the elastic wave equation
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0383388
ER - End of Reference