We construct constant negative Gaussian curvature tori with one family of planar curvature lines in Euclidean 3-space. We show that these tori are wave fronts. The singularities of these tori are studied.
Tatsumasa Ura. "Constant negative Gaussian curvature tori and their singularities." Tsukuba J. Math. 42 (1) 65 - 95, July 2018. https://doi.org/10.21099/tkbjm/1541559651