Holomorphic Isometries from the Unit Ball into Symmetric Domains
Journal article, 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.

Author

Harald Upmeier

Philipps-Universität Marburg

Kai Wang

Fudan University

Genkai Zhang

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

International Mathematics Research Notices

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

1 55-89

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

Roots

Basic sciences

DOI

10.1093/imrn/rnx110

More information

Latest update

2/20/2019