Mathematics – Differential Geometry
Scientific paper
2010-09-18
Mathematics
Differential Geometry
Scientific paper
The $c$-curvature of a complete surface with Gauss curvature close to 1 in
$C^2$ 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 condition.
Delanoë Philippe
Ge Yuxin
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