This work examines a rich tapestry of themes and concepts and
provides a comprehensive treatment of an important area of
mathematics, while simultaneously covering a broader area of the
geometry of domains in complex space. At once authoritative and
accessible, this text touches upon many important parts of modern
mathematics: complex geometry, equivalent embeddings, Bergman and
Kahler geometry, curvatures, differential invariants, boundary
asymptotics of geometries, group actions, and moduli spaces.
"The Geometry of Complex Domains" can serve as a coming of age
book for a graduate student who has completed at least one semester
or more of complex analysis, and will be most welcomed by analysts
and geometers engaged in current research.
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