Lectures related to Hyperbolic geometry

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Explores vector equations, observation points, and normal equations in a plane.

Covers defining a plane by its traces and determining its properties.

Explores the spectrum of hyperbolic surfaces, focusing on Fuchsian groups and their actions.

On hyperbolic cylinder resonances explores Schottky groups and transfer operators.

Explores stereographic projection and metric tensors on hyperbolic planes, emphasizing isometry and conforming models.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Covers examples of barycenters and expressing points as barycenters of given points.