Locally Nearly Spherical Surfaces are Almost-positively c-curved

• Autores: Philippe Delanoë, Yuxin Ge
• Localización: Methods and applications of analysis, ISSN 1073-2772, Vol. 18, Nº 3, 2011, págs. 269-302
• Idioma: inglés
• DOI: 10.4310/maa.2011.v18.n3.a2
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• Resumen

  • 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.