10 jun 2015 -- 15:00
Aula 15S, Politecnico di Torino
Abstract.
An introduction to conformal geometry of manifolds
Conformal structure on a manifold. The aim of the conformal geometry. Conformal geom- etry of curves. Conformally homogeneous manifolds. Prolongation of the linear conformal Lie algebra co(V ) and the prolongation of the conformal structure. Cartan connection of a conformal structure as the bundle of second order frames. Conformal circles. Relation be- tween conformal circles and Riemannian geodesics. Weyl curvature tensor and conformally flat manifolds. Application to classical mechanics.