On the torsion of higher contact structures (Q2731040)
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scientific article; zbMATH DE number 1625456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the torsion of higher contact structures |
scientific article; zbMATH DE number 1625456 |
Statements
2001
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contact manifold
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tight contact structure
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On the torsion of higher contact structures (English)
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The author studies the tight contact structures on 3-manifolds. Using the torsion, an invariant introduced by \textit{E. Giroux} [ibid. 27, 697--705 (1994; Zbl 0819.53018)], the sufficient conditions for existing infinitely many non-isomorphic tight contact structures on a 3-manifold are given. In particular it is proved that every orientable Seifert fibered space over a surface of genus \(g\geq 1\) admits infinitely many non-isomorphic tight contact structures.
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