Let D be a bounded homogeneous domain in ℂn. In this note, we give a characterization of the Stein domains in D which are invariant under a maximal unipotent subgroup N of Aut(D). We also exhibit an Ninvariant potential of the Bergman metric of D, expressed in a Lie theoretical fashion. These results extend the ones previously obtained by the authors in the symmetric case.
Geatti, L., Iannuzzi, A. (2024). A REMARK ON THE N-INVARIANT GEOMETRY OF BOUNDED HOMOGENEOUS DOMAINS. NAGOYA MATHEMATICAL JOURNAL, 256, 928-937 [10.1017/nmj.2024.12].
A REMARK ON THE N-INVARIANT GEOMETRY OF BOUNDED HOMOGENEOUS DOMAINS
LAURA GEATTI
;ANDREA IANNUZZI
2024-01-01
Abstract
Let D be a bounded homogeneous domain in ℂn. In this note, we give a characterization of the Stein domains in D which are invariant under a maximal unipotent subgroup N of Aut(D). We also exhibit an Ninvariant potential of the Bergman metric of D, expressed in a Lie theoretical fashion. These results extend the ones previously obtained by the authors in the symmetric case.File in questo prodotto:
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