Liouville setup and contact cobordism (Q1355164)

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scientific article; zbMATH DE number 1011287
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Liouville setup and contact cobordism
scientific article; zbMATH DE number 1011287

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    Liouville setup and contact cobordism (English)
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    30 July 1997
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    The author defines the Liouville setup that specifies some condition of a contact manifold embedded in a symplectic manifold as a hypersurface. The existence of a standard form of a tubular neighborhood of the contact manifold is proven in the paper. Using this fact, the author defines a contact cobordism for contact forms and proves that it admits the transitive law.
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    contact manifold
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    symplectic manifold
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    hypersurface
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    tubular neighborhood
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    contact cobordism
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