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The isotropy groups of bounded homogeneous domains are nontrivial

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Abstract:

It will be shown in this paper that the automorphism group of a bounded homogeneous domain D in ℂn can never act freely on $D$. An equivalent statement is that the isotropy groups of bounded homogeneous domains always contain at least two elements.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 2072 East Hall, Ann Arbor, MI 48-1109, USA. e-mail: hundemer@math.lsa.umich.edu, , , , , , US

    Axel Hundemer

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  1. Axel Hundemer
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Received: 7 May 1998

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Hundemer, A. The isotropy groups of bounded homogeneous domains are nontrivial. manuscripta math. 98, 403–408 (1999). https://doi.org/10.1007/s002290050149

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  • DOI: https://doi.org/10.1007/s002290050149

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