Fixed points and determining sets for holomorphic self-maps of a hyperbolic manifold
Fridman, Buma L. Ma, Daowei Vigué, Jean-Pierre
Fridman, Buma L.
Ma, Daowei
Vigué, Jean-Pierre
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Fridman, Buma L.
Ma, Daowei
Vigué, Jean-Pierre
Ma, Daowei
Vigué, Jean-Pierre
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2007
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Fridman, Buma L.; Ma, Daowei; Vigué, Jean-Pierre. 2007. Fixed points and determining sets for holomorphic self-maps of a hyperbolic manifold. Michigan Mathematical Journal, v. 55, Issue 1: 229-239.
Abstract
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 Cn. 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.
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Open Access. Click on the DOI link to access the article at the publisher's website.
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University of Michigan. Dept. of Mathematics
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Michigan Mathematical Journal;v.55 no.1
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0026-2285