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arxiv: 1307.7693 · v4 · pith:NXPEM5VInew · submitted 2013-07-20 · 🧮 math.GM

Existence Of Contact Structure

classification 🧮 math.GM
keywords contactstructurealmostanswerscherncloseexistencehomotopic
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Let $(\Sigma ,\xi ',\omega)$ be a close almost contact $(2n-1)$-manifold. Then, by McDuff's theorem, we prove that $\xi '$ is homotopic to a contact structure $\xi $. This answers a question proposed by Chern.

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