On the boundary orbit accumulation set for a domain with non-compact automorphism group

Details On the boundary orbit accumulation set for a domain with non-compact automorphism group On the boundary orbit accumulation set for a domain with non-compact automorphism group

1996-06-04

arxiv.org/abs/math/9604205v1

Mathematics

Complex Variables

Scientific paper

For a smoothly bounded pseudoconvex domain $D\subset{\Bbb C}^n$ of finite type with non-compact holomorphic automorphism group $\text{Aut}(D)$, we show that the set $S(D)$ of all boundary accumulation points for $\text{Aut}(D)$ is a compact subset of $\partial D$ and, if $S(D)$ contains at least three points, it is connected and thus has the power of the continuum. We also discuss how $S(D)$ relates to other invariant subsets of $\partial D$ and show in particular that $S(D)$ is always a subset of the \v{S}ilov boundary.

Affiliated with

Also associated with

No associations

Rating

On the boundary orbit accumulation set for a domain with non-compact automorphism group 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 boundary orbit accumulation set for a domain with non-compact automorphism group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the boundary orbit accumulation set for a domain with non-compact automorphism group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532942