3 papers
math.AG2026
Classification of singularities of planar slowness surfaces
Antonio Cocan, Maarten V. de Hoop, Joonas Ilmavirta +2
Slowness surfaces are algebraic varieties arising from propagation of elastic waves. In dimensions , we completely classify the types of singularities slowness surfaces can have…
math.DG2026
Regularity for the Geodesic X-Ray Transform in Nonsmooth Geometry
Pieti Kirkkopelto, Miika Manu, Mikko Salo
In this article we give regularity results for the geodesic X-ray transform on nonsmooth simple manifolds. As an application, we improve previous injectivity results for the geodes…
math.DG2025
Horizontal and Vertical Regularity of Elastic Wave Geometry
Joonas Ilmavirta, Pieti Kirkkopelto, Antti Kykkänen
The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic…