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math.DG2002
Mirror symmetry and self-dual manifolds
Michele Grassi
We introduce self-dual manifolds and show that they can be used to encode mirror symmetry for affine-Kähler manifolds and for elliptic curves. Their geometric properties, especiall…
math.DG2000
Polysymplectic spaces, s-Kahler manifolds and lagrangian fibrations
Michele Grassi
In the first part of this paper we begin the study of polysymplectic manifolds, and of their relationship with PDE's. This notion provides a generalization of symplectic manifolds…