On the automorphism groups of hyperbolic manifolds

Details On the automorphism groups of hyperbolic manifolds On the automorphism groups of hyperbolic manifolds

1999-06-22

arxiv.org/abs/math/9906142v1

Mathematics

Complex Variables

15 pages, see also http://wwwmaths.anu.edu.au/research.reports/99mrr.html

Scientific paper

We show that there does not exist a Kobayashi hyperbolic complex manifold of dimension $n\ne 3$, whose group of holomorphic automorphisms has dimension $n^2+1$ and that, if a 3-dimensional connected hyperbolic complex manifold has automorphism group of dimension 10, then it is holomorphically equivalent to the Siegel space. These results complement earlier theorems of the authors on the possible dimensions of automorphism groups of domains in comlex space. The paper also contains a proof of our earlier result on characterizing $n$-dimensional hyperbolic complex manifolds with automorphism groups of dimension $\ge n^2+2$.

Affiliated with

Also associated with

No associations

Rating

On the automorphism groups of hyperbolic 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 On the automorphism groups of hyperbolic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the automorphism groups of hyperbolic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386587