Extremal discs and Segre varieties for real-analytic hypersurfaces in ${\mathbb{C}}^2$

Florian Bertrand, Giuseppe Della Sala, Bernhard Lamel

We show that if the Segre varieties of a strictly pseudoconvex hypersurface in ${\mathbb{C}}^2$ are extremal discs for the Kobayashi metric, then that hypersurface has to be locally…