CONTACT STRUCTURES, σ-CONFOLIATIONS AND CONTAMINATIONS IN 3-MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Contaminations in 3-Manifolds
We propose in this paper a method for studying contact structures in 3manifolds by means of branched surfaces. We explain what it means for a contact structure to be carried by a branched surface embedded in a 3-manifold. To make the transition from contact structures to branched surfaces, we first define auxiliary objects called σ-confoliations and pure contaminations, both generalizing contac...
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The study of the characteristic foliation induced on an embedded surface is one of the main themes in 3-dimensional contact topology. In particular (see [10]) one can describe exactly what foliations arise (“existence results”). Moreover one knows that the characteristic foliation F = Fξ(Σ) determines uniquely the contact structure ξ in a neighbourhood of a surface Σ (“uniqueness results”). (By...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2009
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s021919970900334x