Lectures related to Christoffel symbols

Explores the vorticity equation, Levi-Civita symbol, stress tensor, and helicity derivation.

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

Explains Riemannian submanifolds, metrics, and gradients computation on manifolds.

Explores the connection between Riemannian and Euclidean gradients and Hessians at critical points.

Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.