Andrea Bisterzo (Pisa) will speak in the geometry seminar on 30th March at 2pm. The talk will take place in the Salle des Profs (9th floor). Andrea’s title is “Characterizations of embedded minimal helicoids and totally geodesic hypersurfaces in space-forms” and his abstract is below.
This talk aims to present three characterizations of embedded minimal helicoids and totally geodesic hypersurfaces in three-dimensional space-forms. The first involves the notion of “constant boundary temperature”, an overdetermined condition for the Cauchy heat equation; the second is based on what we refer to as the “divergence condition”, a geometric PDE involving the curvatures of these surfaces; the latter is about the so-called “uniformly dense condition”, which describes how symmetrically a surface splits the ambient manifold. This talk is based on a joint work with Alessandro Savo.