On some examples in Symplectic Topology

Details On some examples in Symplectic Topology On some examples in Symplectic Topology

2001-06-15

arxiv.org/abs/math/0106127v1

Mathematics

Differential Geometry

Scientific paper

Article is devoted to the Examples 2 and 3 of the symplectic solvable Lie groups $R$ with some special cohomological properties, which have been constructed by Benson and Gordon. But they are not succeeded in constructing corresponding compact forms for symplectic structures on these Lie groups. Recently A.Tralle proved that there is no compact form in the Example 3. But his proof is rather complicated and uses some very special topological methods. We propose much more simpler (and purely algebraic) method to prove the main result of the Tralle's paper. Moreover we prove that for Example 2 there is no compact form too. But it appears that some modification of the construction of the Example 2 gives some other example of a solvable Lie group $R^{\prime}$ with the same cohomological properties as $R$, but with a compact form.

Affiliated with

Also associated with

No associations

Rating

On some examples in Symplectic Topology 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 On some examples in Symplectic Topology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On some examples in Symplectic Topology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-174771