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The closing lemma for holomorphic maps

Published online by Cambridge University Press:  02 April 2001

JOHN ERIK FORNÆSS  and
NESSIM SIBONY
JOHN ERIK FORNÆSS
Affiliation:
Mathematics Department, The University of Michigan, Ann Arbor, MI 48104, USA
NESSIM SIBONY
Affiliation:
Universite Paris Sud, Bat 425. Mathematiques, 91405 Orsay, France
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Abstract

The closing lemma is proved for various classes of holomorphic self-maps on ${\Bbb C}^k$. These classes include those consisting of biholomorphic maps, endomorphisms and symplectomorphisms.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 4 , August 1997 , pp. 821 - 837
Copyright
© 1997 Cambridge University Press

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