Rafael Santamaría
Departamento de Matemáticas, Universidad de León
Holonomy of a bi-Lagrangian manifold
A bi-Lagrangian manifold is a symplectic manifold endowed with two
transversal Lagrangian foliations. One can define a canonical neutral
metric and the leaves of both foliations are isotropic respect to it.
We study the number of points of intersection of both leaves, one of
each foliation, through a point, obtaining several examples which
show that this number does not depend on the compactness and the
flatness of the bi-Lagrangian manifold.