Sumários
Curvature
30 Maio 2018, 11:00 • Susana Duarte Santos
Sectional curvature, Ricci curvature and scalar curvature. Riemannian manifolds with constant sectional curvatures. Isotropic manifolds. Einstein manifolds.
Curvature
25 Maio 2018, 16:00 • Susana Duarte Santos
The curvature endomorphism and curvature tensor: definitions, properties and results concerning local isometry invariants and flat manifolds. Sectional curvature: definition, first properties and geometric meaning.
Affine connections/Curvature
25 Maio 2018, 14:30 • Susana Duarte Santos
Examples related to the theory already developed.
Resolution of exercises.
Geodesics/Curvature
23 Maio 2018, 11:00 • Susana Duarte Santos
Geodesics/Complete Riemannian manifolds
18 Maio 2018, 16:00 • Susana Duarte Santos