Sumários
Riemannian metrics/Affine connections
11 Abril 2018, 11:00 • Susana Duarte Santos
Notion of volume.
Affine connections: motivation, definition and first properties.
Riemannian metrics
6 Abril 2018, 16:00 • Susana Duarte Santos
Piecewise smooth curve segments and their lengths. Results related to the subject.
Smooth manifolds/Riemannian metrics
6 Abril 2018, 14:30 • Susana Duarte Santos
Resolution of exercises.
Riemannian metrics
4 Abril 2018, 11:00 • Susana Duarte Santos
Examples of local isometries. Examples of Riemannian manifolds that are flat/not flat. Existence of Riemannian metrics. The model spaces of Riemannian geometry.
Riemannian metrics
23 Março 2018, 16:00 • Susana Duarte Santos
Examples of Riemannian and pseudo-Riemannian metrics. Riemannian isometries and local Riemannian isometries. The pullback metrics and the isometric immersions. The binary relation "M locally isometric to N". Flat manifolds. Examples.