7 citations · 17 across the 6 of their papers we have counts for
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A natural Lie superalgebra bundle on rank three WSD manifolds
Giovanni Gaiffi, Michele Grassi
We determine the structure of the -Lie superalgebra generated by a set of carefully chosen natural operators of an orientable WSD manifold of rank three. This Lie superalgebra i…
A geometric realization of sl(6,C)
Giovanni Gaiffi, Michele Grassi
Given an orientable weakly self-dual manifold X of rank two, we build a geometric realization of the Lie algebra sl(6,C) as a naturally defined algebra L of endomorphisms of the sp…
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…
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…