Curvature of Riemannian manifolds

Related lectures (31)

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

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

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

Covers optimality conditions in optimization on manifolds, focusing on global and local minimum points.

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

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

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

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

Covers the Brown-York stress tensor and its relation to AdS/CFT correspondence.

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.