Sumários
Affine connections
20 Abril 2018, 16:00 • Susana Duarte Santos
The Riemannian connection: motivation. An affine connection compatible with a metric: definition and properties. A symmetric affine connection: definition and properties. Fundamental theorem of Riemannian geometry. Christoffel symbols of a Riemannian connection. Examples.
Affine connections
20 Abril 2018, 14:30 • Susana Duarte Santos
Examples related to the theory already developed.
Affine connections
18 Abril 2018, 11:00 • Susana Duarte Santos
Parallel vector fields along curves.Parallel transport: definition, properties and examples.
Affine connections
13 Abril 2018, 16:00 • Susana Duarte Santos
Affine connections in local coordinates. Christoffel symbols. Examples. Existence of affine connections. Vector fields along curves. Examples. Covariant derivatives along curves.
Riemannian metrics
13 Abril 2018, 14:30 • Susana Duarte Santos
Examples related to the theory already developed.
Resolution of exercises.