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On the Lie group structure of automorphism groups

Authors :
Yoshikazu Nagata
Source :
Comptes Rendus Mathematique. 355:769-773
Publication Year :
2017
Publisher :
Elsevier BV, 2017.

Abstract

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.

Details

ISSN :
1631073X
Volume :
355
Database :
OpenAIRE
Journal :
Comptes Rendus Mathematique
Accession number :
edsair.doi...........901b9fb2178bc41b1d4fa869dc7647c7
Full Text :
https://doi.org/10.1016/j.crma.2017.06.007