Sumários

Levi-Civita connection

10 novembro 2011, 09:00 • José António Maciel Natário

Levi-Civita connection: existence and uniqueness.

Affine connections

7 novembro 2011, 11:00 • José António Maciel Natário

Affine connections: definition and examples. Contravariant and mixed tensors. Torsion.

First test

3 novembro 2011, 09:00 • José António Maciel Natário

First test.

Riemannian manifolds

31 outubro 2011, 11:00 • José António Maciel Natário

Riemannian manifolds: definition and examples. Metric induced by an immersion on a Riemannian manifold. Length of a curve, Riemannian volume element, gradient.

Volume forms

27 outubro 2011, 09:00 • José António Maciel Natário

Orientability and volume forms.