Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts

Luciana F. Martins, Kentaro Saji, Masaaki Umehara +1

We define cuspidal curvature ${\kappa }_c$ (resp. normalized cuspidal curvature ${\mu }_c$) along cuspidal edges (resp. at swallowtail singularity) in Riemannian $3$-manifolds, and show that it…