Débora Lopes da Silva

Wednesday, December 16th, 2020. Gmeet at 4:20 pm

**Title: Principal singularities of hypersurfaces of R^n**

**Abstract**: This talk is about the mutually orthogonal one dimensional singular

foliations with singularities, in oriented n dimensional manifolds Mn , whose leaves

are the integral curves of the principal curvature direction fields associated to

immersions α : Mn → R n+1. We focus on behavior of these foliations around

singularities defined by the points, called partially umbilic, where at least two

principal curvature coincide.