Lectures related to Intrinsic Geometry of Regular Surfaces

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

Explores approximating curves in space and preparing for an upcoming exam.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Explores surfaces with variable curvature, discussing their construction and properties.

Covers the reparameterization of geometric curves and the concept of 'same geometric curve'.