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Partial Dirac structures in infinite dimension
Fernand Pelletier, Patrick Cabau
In this paper the notion of Dirac structure in finite dimension is extended to the convenient setting. In particular, we introduce the notion of partial Dirac structure on convenie…
Prolongations of convenient Lie algebroids
Patrick Cabau, Fernand Pelletier
We first define the concept of Lie algebroid in the convenient setting. In reference to the finite dimensional context, we adapt the notion of prolongation of a Lie algebroid over…
Projective limits of local shift morphism
Patrick Cabau
We define the notion of projective limit of local shift morphisms of type and endow the space of such mathematical objects with an adapted differential structu…
Projective and Direct limits of Banach and tensor structures
P. Cabau, F. Pelletier
We endow projective (resp. direct) limits of Banach tensor structures with Fréchet (resp. convenient) structures and study adapted connections to -structures in both frameworks.…
Special Lagrangian manifolds obtained from complex Grassmannians
A. Ben Abdesselem, P. Cabau
This paper gives an example of special Lagrangian manifold obtained from a hypersurface of a complex Grassmannian with vanishing first Chern class. The obtained manifold is a 1-tor…