4 citations · 5 across the 6 of their papers we have counts for
8 papers
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 limit of a sequence of compatible weak symplectic forms on a sequence of Banach bundles and Darboux Theorem
Fernand Pelletier
Given a projective sequence of Banach bundles, each one provided with a of weak symplectic form, we look for conditions under which, the corresponding sequence of weak symplectic f…
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.…
Symmetries of special 2-flags
Piotr Mormul, Fernand Pelletier
This work is a continuation of authors' research interrupted in the year 2010. Derived are recursive relations describing for the first time all infinitesimal symmetries of special…
On Darboux Theorem for symplectic forms on direct limits of symplectic Banach manifolds
F. Pelletier
Given an ascending sequence of weak symplectic Banach manifolds on which the Darboux theorem is true, we can ask about conditions under which the Darboux Theorem is also true on th…