13/03/2012, 10:30 — 11:30 — Room P4.35, Mathematics Building
Daniele Sepe, CAMGSD/IST
Lecture III - (Integral) affine manifolds and Lagrangian fibrations
I
A theorem due to Weinstein states that the leaves of any Lagrangian
foliation admit a flat, torsion-free connection. A manifold
admitting such a connection is called affine; these have been
extensively studied since the '50s as a generalisation of flat
Riemannian manifolds. This lecture first proves the above result
directly for Lagrangian fibrations and then introduces more
formally (integral) affine manifolds, illustrating the theory with
examples.
See also
https://www.math.tecnico.ulisboa.pt/~jmourao/inves/D_Sepe_Lagrangian_Fibrations.pdf
