Connection (mathematics)

Related lectures (31)

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Covers connections on manifolds, symmetric connections, Lie brackets, and compatibility with the metric in Riemannian geometry.

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.

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

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

Delves into phase transitions in random graphs, emphasizing the emergence of a giant component with varying connectivity.

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

Covers the exponential map, covariant derivatives, connection coefficients, and Riemann curvature tensor.

Explores parallel transport along curves and geodesics maximizing proper time between points.