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Journal Articles Methods and Applications of Analysis Year : 2012

LOCALLY NEARLY SPHERICAL SURFACES ARE ALMOST-POSITIVELY c-CURVED

Philippe Delanoë
Yuxin Ge
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  • PersonId : 748879
  • IdHAL : yuxin-ge

Abstract

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.
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Dates and versions

hal-00864833 , version 1 (23-09-2013)

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  • HAL Id : hal-00864833 , version 1

Cite

Philippe Delanoë, Yuxin Ge. LOCALLY NEARLY SPHERICAL SURFACES ARE ALMOST-POSITIVELY c-CURVED. Methods and Applications of Analysis, 2012, 18 (3), pp.269-302. ⟨hal-00864833⟩
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