Connection (vector bundle)

Related lectures (31)

Covers Riemannian connections, emphasizing their properties and significance in geometry.

Covers optimization on manifolds, smoothness, tools needed for optimization, and advanced algorithms using Hessians and Riemannian connections.

Explores ergodic properties in exponential dynamics, emphasizing dense orbits and specific functions.

Covers systems of forces in 3D, equilibrium in 2D, system isolation, free-body diagrams, supports, and joints.

Delves into dispositionalism, laws of nature, Humean metaphysics, and Super-Humeanism in explaining fundamental physics.

Covers the resolution of an exercise on active and reactive powers under an alternating voltage.

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

Covers Hessians, symmetry, and examples related to vector fields, functions, and manifolds.

Covers the definition and computation of Riemannian Hessians on manifolds.

Covers the basics of tensors and indices, including contravariant vectors and tensor operations.

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