On the asymptotic behavior of holomorphic isometries of the Poincaré disk into bounded symmetric domains

DOI10.1016/S0252-9602(09)60076-XzbMath1212.53027MaRDI QIDQ979482

Ngaiming Mok

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

symplectic geometrysecond fundamental formanalytic continuationbounded symmetric domainBergman metricPoincaré diskholomorphic isometrySiegel upper half-planeasymptotic geodesy

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25)

Related Items

Second fundamental forms of holomorphic isometries of the Poincaré disk into bounded symmetric domains and their boundary behavior along the unit circle, Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets, Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two