Some uniqueness problems in mathbbH2timesmathbbR.

Date/heure
25 mars 2014
14:00 - 15:00

Oratrice ou orateur
Anna Menezes

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

In this talk we will consider two uniqueness problems in mathbbH2timesmathbbR. First, we will prove a halfspace theorem for an ideal Scherk graph S over a polygonal domain D in mathbbH2, that is, we will show that a properly immersed minimal surface contained in DtimesmathbbR and disjoint from S is a translate of S. Second, we will consider a multi-valued Rado theorem for small perturbations of the Helicoid. More precisely, we will prove that for certain small perturbations of the boundary of a (compact) helicoid there exists only one minimal disk with that boundary.