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Convexité en topologie de contact. (Convexity in contact topology). (French) Zbl 0766.53028
A contact structure $$\xi$$ on a manifold $$V$$ is convex if there exists a proper Morse function $$f: V\to[0,\infty)$$ with a gradient-like vector field preserving $$\xi$$ [Ya. Eliashberg and M. Gromov, Convex symplectic manifolds, Several complex variables and complex geometry, Proc. Summer Res. Inst., Santa Cruz/Ca (USA) 1989, Proc. Symp. Pure Math. 52, Part 2, 135-162 (1991; Zbl 0742.53010)]. The author studies the characteristic foliations on a surface $$S$$ in a 3-dimensional contact manifold and presents a construction of convex contact structures in dimension 3.
Reviewer: V.Oproiu (Iaşi)

##### MSC:
 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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