Mean and Gaussian Curvature

Related lectures (28)

Page 3 of 3

Explores normal curvature on a surface, discussing oriented curvature, existence proofs, and elimination methods for finding curvature.

Covers the equations of plates, bending and stretching energy, von Karman equations, and buckling of plates.

Explores cylindrical pressure vessels, surfaces parametrization, and geometrical properties computation.

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

Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.