Contact 3-manifolds twenty years since J. Martinet's work
نویسندگان
چکیده
منابع مشابه
Braiding Knots in Contact 3-manifolds
We show that a transverse link in a contact structure supported by an open book decomposition can be transversely braided. We also generalize Markov’s theorem on when the closures of two braids represent (transversely) isotopic links.
متن کاملContact Structures on Elliptic 3-manifolds
We show that an oriented elliptic 3-manifold admits a universally tight positive contact structure if and only if the corresponding group of deck transformations on S3 (after possibly conjugating by an isometry) preserves the standard contact structure. We also relate universally tight contact structures on 3-manifolds covered by S3 to the isomorphism SO(4) = (SU(2) × SU(2))/±1. The main tool u...
متن کاملBiminimal submanifolds in contact 3-manifolds
We study biminimal submanifolds in contact 3-manifolds. In particular, biminimal curves in homogeneous contact Riemannian 3manifolds and biminimal Hopf cylinders in Sasakian 3-space forms are investigated. M.S.C. 2000: 53C42, 53C25.
متن کاملSurgery and Tightness in Contact 3-manifolds
This article is an expository overview of the proof of the author that tightness of a closed contact 3-manifold is preserved under Legendrian surgery. The aim is to give a somewhat more leisurely, motivated, and illustrated version of the ideas and constructions involved in the original paper.
متن کاملStrongly Fillable Contact Manifolds and J–holomorphic Foliations
We prove that every strong symplectic filling of a planar contact manifold admits a Lefschetz fibration over a disk that restricts to any given planar open book at the boundary. It follows that strongly fillable planar contact structures are also Stein fillable. Using similar methods, involving foliations by J–holomorphic curves, we construct a Lefschetz fibration over the annulus for any stron...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1992
ISSN: 0373-0956
DOI: 10.5802/aif.1288