Classification of umbilical foliations in the real hyperbolic space

Maciej Czarnecki - Lodz

Mércores 21 de maio de 2014 ás 16:30 horas na aula 9.

In this talk we generalize the classical result of F. Ferus on totally geodesic foliations of the real hyperbolic space to the case of leaves with are totally umbilical.

Umbilicity as the easiest conformal invariant is studied by only conformal methods. We represent totally umbilical leaves in the space of spheres, construct appropriate boosted time cones and finally give geometric conditions involving mean curvature of leaves and normal curvature of foliations.

This is joint work with Remi Langevin.

© Maciej Czarnecki.