Deformations of Complex Hyperbolic Schottky Groups

Submitted: June 25, 1995
Rejected: August 29, 1996

Excerpts from the referee's report

Recall complex hyperbolic space :

• is a complete Riemannian manifold with pinched negative curvature.

• is a complex manifold with a natural Kähler structure, and hence a symplectic structure.

• has a standard model given by the unit ball in C^d.

The group of holomorphic isometries is the Lie group PU(1,d).