Lattices in contact Lie groups and 5-dimensional contact solvmanifolds

Details Lattices in contact Lie groups and 5-dimensional contact solvmanifolds Lattices in contact Lie groups and 5-dimensional contact solvmanifolds

2009-04-20

arxiv.org/abs/0904.3113v1

Mathematics

Differential Geometry

16 pages. Latex. Paper already submitted

Scientific paper

This paper investigates the geometry of compact contact manifolds that are uniformized by contact Lie groups, i.e., compact manifolds that are the quotient of some Lie group G with a left invariant contact structure and a uniform lattice subgroup. We re-examine Alexander's criteria for existence of lattices on solvable Lie groups and apply them, along with some other well known tools, and use these results to prove that, in dimension 5, there are exactly seven connected and simply connected contact Lie groups with uniform lattices, all of which are solvable. Issues of symplectic boundaries are explored, as well. It is also shown that the special affine group has no uniform lattice.

Affiliated with

Also associated with

No associations

Rating

Lattices in contact Lie groups and 5-dimensional contact solvmanifolds 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 Lattices in contact Lie groups and 5-dimensional contact solvmanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattices in contact Lie groups and 5-dimensional contact solvmanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-370500