Connections
4 dezembro 2018, 11:00 • Sílvia Nogueira da Rocha Ravasco dos Anjos
The notion of connection in a vector bundle. Definition of Christoffel symbols and 1-forms of the connection. The covariant derivative of a section and parallel transport along a smooth path.
Applications to the tangent bundle: geodesic, exponential map, torsion. Levi-Civita connection in Riemannian manifolds.