Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold

Details Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold

2005-10-12

arxiv.org/abs/math/0510255v2

Mathematics

Complex Variables

10 pages

Scientific paper

We study fixed point sets for holomorphic automorphisms (and endomorphisms) on complex manifolds. The main object of our interest is to determine the number and configuration of fixed points that forces an automorphism (endomorphism) to be the identity. These questions have been examined in a number of papers for a bounded domain in ${\Bbb C}^n$. Here we resolve the case for a general finite dimensional hyperbolic manifold. We also show that the results for non-hyperbolic manifolds are notably different.

Affiliated with

Also associated with

No associations

Rating

Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold 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 Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686220