TY - JOUR
T1 - Holomorphic maps from the complex unit ball to Type IV classical domains
AU - Xiao, Ming
AU - Yuan, Yuan
N1 - Funding Information:
M. Xiao is supported in part by National Science Foundation grant DMS-1800549.Y. Yuan is supported in part by National Science Foundation grant DMS-1412384 and the seed grant program at Syracuse University. The author is also supported by the National Science Foundation under Grant No. 0932078000 while he was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the 2016 Spring semester.
Publisher Copyright:
© 2019 Elsevier Masson SAS
PY - 2020/1
Y1 - 2020/1
N2 - We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.
AB - We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.
KW - Bergman metric
KW - Bounded symmetric domain
KW - Holomorphic isometry
KW - Proper holomorphic map
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U2 - 10.1016/j.matpur.2019.05.009
DO - 10.1016/j.matpur.2019.05.009
M3 - Article
AN - SCOPUS:85065861882
SN - 0021-7824
VL - 133
SP - 139
EP - 166
JO - Journal des Mathematiques Pures et Appliquees
JF - Journal des Mathematiques Pures et Appliquees
ER -