An Introduction to Hyperbolic Geometry
Published:
Abstract: Hyperbolic geometry is a fascinating and non-intuitive type of non-Euclidean geometry. While Euclidean geometry describes flat surfaces like a sheet of paper, hyperbolic geometry describes surfaces with constant negative curvature, like the surface of a saddle or a Pringles chip. This negative curvature leads to a space that expands exponentially, having “more room” than flat space.
This property makes it a natural mathematical language for describing concepts in the AdS/CFT correspondence (which I will introduce at the end of the article), where a vast amount of information on a boundary of a set is encoded within a higher-dimensional “bulk” universe.
