Hyperbolic Geometry

Related lectures (29)

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

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

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

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

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

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