Patrick Massot
Published 2007-11-02, updated 2008-07-28Version 2
In this paper, we study and almost completely classify contact structures on closed 3--manifolds which are totally geodesic for some Riemannian metric. Due to previously known results, this amounts to classifying contact structures on Seifert manifolds which are transverse to the fibers. Actually, we obtain the complete classification of contact structures with negative (maximal) twisting number (which includes the transverse ones) on Seifert manifolds whose base is not a sphere, as well as partial results in the spherical case.
Comments: 49 pages, 6 figures. v2 includes referee's suggestions, adds some references and discussions, corrects small inaccuracies, minor exposition improvements. this is almost the published version
Journal: Geometry & Topology 12 (2008) 1729-1776
Tight contact structures on Seifert manifolds over T^2 with one singular fibre
On profinite rigidity of 4-dimensional Seifert manifolds
Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds
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