Sumários

Cartan connection

4 dezembro 2012, 11:00 José António Maciel Natário

Curvature. Cartan structure equations. Cartan connection.


Lorentz transformations

30 novembro 2012, 11:00 José António Maciel Natário

Time orientation. Lorentz transformations and simple consequences: time dilation, relativity of simultaneity and length contraction.


Minkowski spacetime

27 novembro 2012, 11:00 José António Maciel Natário

Inertial frames. Galileo spacetime. Minkowski spacetime.


Poisson reduction

23 novembro 2012, 11:00 José António Maciel Natário

Poisson maps. Poisson actions and Hamiltonian actions. Noether's theorem. Poisson reduction.


Poisson manifolds

20 novembro 2012, 11:00 José António Maciel Natário

Poisson manifolds: definition and examples. Hamiltonian vector fields, Casimir functions, Poisson bivector. Kirillov's theorem.