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Comptes Rendus Mathématique
Volume 355, n° 7
pages 769-773 (juillet 2017)
Doi : 10.1016/j.crma.2017.06.007
Received : 28 February 2017 ;  accepted : 27 June 2017
On the Lie group structure of automorphism groups
Sur la structure de groupe de Lie des groupes d'automorphismes

Yoshikazu Nagata
 Department of Mathematics and The SRC-GAIA, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea 


We give a sufficient condition for complex manifolds for automorphism groups to become Lie groups. As an application, we see that the automorphism group of any strictly pseudoconvex domain or finite-type pseudoconvex domain has a Lie group structure.

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Nous donnons une condition suffisante pour que le groupe des automorphismes d'une variété complexe possède une structure de groupe de Lie. Comme application, nous obtenons que le groupe des automorphismes de tout domaine strictement pseudo-convexe ou de type pseudo-convexe fini a une structure de groupe de Lie.

The full text of this article is available in PDF format.

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