Arithmeticity, Discreteness and Volume

Details Arithmeticity, Discreteness and Volume Arithmeticity, Discreteness and Volume

1995-04-07

arxiv.org/abs/math/9504208v1

Mathematics

Differential Geometry

Scientific paper

We give an arithmetic criterion which is sufficient to imply the discreteness of various two-generator subgroups of $PSL(2,{\bold C})$. We then examine certain two-generator groups which arise as extremals in various geometric problems in the theory of Kleinian groups, in particular those encountered in efforts to determine the smallest co-volume, the Margulis constant and the minimal distance between elliptic axes. We establish the discreteness and arithmeticity of a number of these extremal groups, the associated minimal volume arithmetic group in the commensurability class and we study whether or not the axis of a generator is simple.

Affiliated with

Also associated with

No associations

Rating

Arithmeticity, Discreteness and Volume 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 Arithmeticity, Discreteness and Volume, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arithmeticity, Discreteness and Volume will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301374