Stereographic Projection and Metric Tensors

Related lectures (28)

Page 1 of 3

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

Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Explores implicit surface parametrizations and the use of metric tensors in surface parameterization.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Covers the intersection of manifolds in exercise 8.2 and fiscal year 8.8.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

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