Hermitian metric with constant holomorphic sectional curvature on convex domains

Authors
Cheung, WS Wong, B
Citation
Ws. Cheung et B. Wong, Hermitian metric with constant holomorphic sectional curvature on convex domains, INT J MATH, 11(6), 2000, pp. 849-855
Citations number
22
Categorie Soggetti
Mathematics
Journal title
INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN journal
0129167X → ACNP
Volume
11
Issue
6
Year of publication
2000
Pages
849 - 855
Database
ISI
SICI code
0129-167X(200008)11:6<849:HMWCHS>2.0.ZU;2-N
Abstract
Let D be a bounded convex domain in C-n with a Hermitian metric ds(2) = Sig ma g(i (j) over bar)dz(i)d (z) over bar(j) of constant negative holomorphic sectional curvature such that all components g(i (j) over bar) blow up to infinity on the boundary of D. Then D is biholomorphic to the Euclidean bal l.