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3 results for C-curvature

The cc-curvature of a complete surface with Gauss curvature close to 1 in C2C^2 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 conditi…

2010-09-18abs ↗pdf ↗