On the (non-)Inversibility of the Maximum Principle for harmonic maps (on manifolds thick at infinity).
- Renan Assimos (Leibniz Universität Hannover)
Abstract
Let
Is the inverse of this Maximum Principle true? I.e. suppose
•) every harmonic map
Natural question: Is the existence of a strictly convex function defined on
In this talk I will present a counter example to this inverse maximum principle and comment on a result by M. Gromov where he proves that a certain weaker version of this question is true for the case of minimal hypersurfaces on a class of manifolds called “thick at infinity”.