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Complex Hyperbolic Plane in Cylindrical Coordinates about the Real Hyperbolic Plane Cindy Phillips Georgia Institute of Technology Math Student


Abstract

Based on my undergraduate research, we will review basics of the real hyperbolic plane, RH2, as it is contained in the complex hyperbolic plane, CH2. We see that special matrix groups from algebra will help us find the metric on a cylinder/tube which surrounds RH2. The talk will be an overview of the different relationships between the hyperbolic planes and the rotations/translations which lead to the algebra.
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