Lectures related to Connection (mathematics)

Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.

Explores the definition of connections for smooth vector fields on manifolds.

Explores connections on manifolds, emphasizing the axiomatic definition and properties of derivatives in differentiating vector fields.

Covers the concept of passivity for linear systems and related properties.

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

Covers advanced timber plate structural design and finite element analysis using ABAQUS and OpenSees software.

Discusses the elementary properties of coating theory and the raising of roads.

Explains acceleration along curves and geodesics on manifolds, generalizing straight lines to spheres.

Explores covariant derivatives along curves and second-order optimality conditions in vector fields and manifolds.

Explores the intersection between Zen Buddhism and Christianity, emphasizing selflessness, acceptance, and joy in spiritual practice.

Introduces differentiating vector fields along curves on manifolds with connections and the unique operator satisfying specific properties.

Explains resistor grouping in DC circuits, calculating equivalent resistance and current distribution.

Covers the advanced design of concrete structures focusing on the connections between elements.

Covers final project presentations on precast concrete design in a seismic region.

Explores symmetries, Riemannian connection, vector fields, and Lie bracket in geometry.

Presents the fundamental theorem of Riemannian geometry and demonstrates the uniqueness of the Riemannian connection.

Explores the definition, existence, and uniqueness of parallel transport of tangent vectors on manifolds.