Complex hyperbolic geometry, triangle groups, and spherical CR structures on hyperbolic manifolds


Richard Schwartz

University of Maryland

Harvard University

Thursday, October 24, 2002


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


Abstract:   A hyperbolic structure on a manifold is a Riemannian metric of constant negative curvature. A spherical CR structure on a manifold is a system of coordinate charts into the 3-sphere such that the transition functions are restrictions of complex projective automorphisms which preserve the 3-sphere. I will explain my example of the first and still only known closed 3-manifold that admits both a hyperbolic and a spherical CR structure. The example is produced by considering deformations of reflection triangle groups into the isometry group of the complex hyperbolic plane, as I will explain in the talk.


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Created: October 15, 2002    URL: