Existence Of Contact Structure

preprint2013arXivOpen access

Abstract

Let (Σ,ξ′,ω)(Σ,ξ',ω) be a close almost contact (2n−1)(2n-1)-manifold. Then, by McDuff's theorem, we prove that ξ′ξ' is homotopic to a contact structure ξξ. This answers a question proposed by Chern.

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