Stereographic Projection and Metric Tensors

This lecture covers the concept of stereographic projection as a parametrization of a hyperbolic plane, focusing on the metric tensor. The instructor explains how the projection is compliant with the metric tensor, providing exercises for better understanding. The lecture also discusses isometric properties between hyperbolic planes, emphasizing complete and hangine metrics. Various conforming models are presented, highlighting the isometry and metric tensor relationships in different settings.