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.