2 papers
math.DG2024
Remarks on the generalised Calabi-Yau problem in higher codimension
Renan Assimos, Balázs Márk Békési, Giuseppe Gentile
By introducing a more flexible notion of convexity, we obtain a new Omori-Yau maximum principle for harmonic maps. In the spirit of the Calabi-Yau conjectures, this principle is mo…
math.DG2023
Perturbed cone theorems for proper harmonic maps
Renan Assimos, Balázs Márk Békési, Giuseppe Gentile
Inspired by the halfspace theorem for minimal surfaces in of Hoffman-Meeks, the halfspace theorem of Rodriguez-Rosenberg, and the cone theorem of Omori, we derive ne…