Resumen de Locally Nearly Spherical Surfaces are Almost-positively c-curved

Philippe Delanoë, Yuxin Ge

• The c-curvature of a complete surface with Gauss curvature close to 1 in C2 norm is almost-positive (in the sense of Kim�McCann). Our proof goes by a careful case by case analysis combined with perturbation arguments from the constant curvature case, keeping track of an estimate on the closeness curvature condition.