Cylinders: Pressure and Geometry

This lecture covers the equilibrium of cylindrical shells under differential pressure, parametrization of cylindrical surfaces, and computation of geometrical properties like metric and curvature. The instructor explains how to parametrize a cylinder in terms of n and x, the induced covariant base vectors, the normal vector, the metric of the surface, and the curvature tensor. Additionally, the lecture explores whether a cylinder is isometric to a plane and the implications of changing the parametrization variables.