An example of a pseudoconvex domain whose holomorphic sectional curvature of the Bergman metric is unbounded
Work
Year: 2007
Type: article
Abstract: Let $a$ and $m$ be positive integers such that $2a< m$. We show that in the domain $D:=\{ z\in \Bbb C^3\,|\, r(z):= \Re z_1 + |z_1|^2 + |z_2|^{2m} + |z_2z_3|^{2a}+|z_3|^{2m} <0\}$ the holomorphic sect... more
Source: Annales Polonici Mathematici
Author Gregor Herbort
Institutions University of Wuppertal, Weatherford College
Cites: 9
Cited by: 10
Related to: 10
FWCI: 1.489
Citation percentile (by year/subfield): 69.39
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze