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1/4-pinched contact sphere theorem

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  • Jian Ge, Beijing International Center for Mathematical Research, Beijing University, Beijing, China
  • Yang Huang
Given a closed contact 3-manifold with a compatible Riemannian metric, we show that if the sectional curvature is 1/4-pinched, then the contact structure is universally tight. This result improves the Contact Sphere Theorem in [EKM12], where a 4/9-pinching constant was imposed. Some tightness results on positively curved contact open 3-manifold are also discussed.
Original languageEnglish
JournalAsian Journal of Mathematics
Pages (from-to)893-902
Publication statusPublished - 2016

    Research areas

  • contact sphere theorem, tight contact structure, curvature

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