Sfb 288 Differential Geometry and Quantum Physics

Branched texture maps
Waves at a conjugate point

A point wave with origin at top of a torus starts to interfere when the cut locus has been reached. Branching of a wave occurs at the conjugate points where the differential of the exponential map is singular. Here the wave front takes on the shape of a swallow's tail.

Author: Konrad Polthier, Markus Schmies