Applications of cone structures to the anisotropic rheonomic Huygens’ principle

A general framework for the description of classic wave propagation is introduced. This relies on a cone structure C determined by an intrinsic space ? velocities (point, direction and time-dependent) observers’ vector field ???t whose integral curves provide both Zermelo problem auxiliary Lorentz–Finsler metric G compatible with C. The PDE wavefront reduced to ODE t-parametrized geodesics Particular cases include time-independence (???t Killing G), infinitesimally ellipsoidal (G can be replaced Lorentz metric) or case medium which moves respect faster than (the “strong wind” sound wave), where conic time-dependent Finsler emerges. specific wildfire revisited.