Geodesible contact structures on 3--manifolds

Details Geodesible contact structures on 3--manifolds Geodesible contact structures on 3--manifolds

2007-11-02

arxiv.org/abs/0711.0377v2

Geometry & Topology 12 (2008) 1729-1776

Mathematics

Geometric Topology

49 pages, 6 figures. v2 includes referee's suggestions, adds some references and discussions, corrects small inaccuracies, min

Scientific paper

10.2140/gt.2008.12.1729

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.

Affiliated with

Also associated with

No associations

Rating

Geodesible contact structures on 3--manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geodesible contact structures on 3--manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesible contact structures on 3--manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438182