On the area of minimal surfaces in a slab
Benoît Daniel Université Henri Poincaré - Nancy 1
Consider a non-planar orientable minimal surface S in a slab which is possibly with genus or with more than two boundary components. We show that there exists a catenoidal waist W in the slab whose flux has the same vertical component as S such that Area(S) >= Area(W), provided the intersections of S with horizontal planes have the same orientation.This is joint work with Jaigyoung Choe.