Lectures related to Surfaces and Curvature in Geometry

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.

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

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.