Lectures related to Ricci curvature

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

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

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

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

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Explores mean and Gaussian curvature, emphasizing their calculation for different bases and surfaces.

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

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

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

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

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.

Covers the mechanics of plates, focusing on curvature, bending, and stretching energy.

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers the application of the Weingarten map on regular surfaces and the shape operator.