Holomorphic Isometries from the Unit Ball into Symmetric Domains
Artikel i vetenskaplig tidskrift, 2019

We construct rational isometric holomorphic embeddings of the unit ball into higher rank symmetric domains D, first discovered by Mok, in an explicit way using Jordan triple systems, and we classify all isometric embeddings into tube domains of rank 2. For symmetric domains of arbitrary rank, including the exceptional domains of dimension 16 and 27, respectively, we characterize the Mok type mapping in terms of a vanishing condition on the second fundamental form of the image of F in D.

Författare

Harald Upmeier

Philipps-Universität Marburg

Kai Wang

Fudan University

Genkai Zhang

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

International Mathematics Research Notices

1073-7928 (ISSN) 1687-0247 (eISSN)

Vol. 2019 1 55-89

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

Fundament

Grundläggande vetenskaper

DOI

10.1093/imrn/rnx110

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Senast uppdaterat

2024-07-12