Quantitative Darboux theorems in contact geometry (Q2821675)

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scientific article; zbMATH DE number 6629247
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Quantitative Darboux theorems in contact geometry
scientific article; zbMATH DE number 6629247

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    Quantitative Darboux theorems in contact geometry (English)
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    22 September 2016
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    Riemannian geometry
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    contact geometry
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    contact topology
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    Darboux theorem
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    Darboux ball
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    contact structure
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    A study of relations between Riemannian geometry and contact geometry states that in an odd-dimensional contact manifold every point has a neighborhood that can be identified with an open ball in \(\mathbb R^{2n+1}\) with its standard contact structure. The main result of the present work is the quantitative version of Darboux's theorem.NEWLINENEWLINEThe specification of some results obtained in dimension 3 is also given.
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