Caustics of translation surfaces in Euclidean 3-space
Jingren Chen, Haiming Liu, Jiajing Miao · The Journal of Nonlinear Sciences and Applications · 2017
The aim of this paper is to classify the singularities of caustics, which have implications for a wide range of physical applications, of translation surfaces. In addition, we give a particular study on ridge point, sub-parabolic ridge point, and constant curvature line on translation surface and we find that there is no elliptic umblic on translation surface.