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Automorphisms of Nondegenerate CR Quadrics and Siegel Domains: Explicit Description

V Ezov, G Schmalz

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper we give the complete explicit description of the holomorphicautomorphisms of any nondegenerate CR-quadric Q of arbitrary CRdimensionand codimension and of Siegel domains of second kind with not necessarilyLevi-nondegenerate Silov-boundary.We introduce a family of k-dimensional chains (k = codim Q), the analoguesof one-dimensional Chern-Moser chains for hyperquadrics.We also analyse some different types of rigid quadrics.
Original languageEnglish
Pages (from-to)441-467
JournalJournal of Geometric Analysis
Volume11
Issue number3
Publication statusPublished - 2001

Keywords

  • Real and Complex Functions (incl Several Variables)

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