28 citations · 71 across the 27 of their papers we have counts for
4 papers · 1 filter
On Sussmann theorem for orbits of sets of vector fields on Banach manifolds
Arnauld Lathuille, Fernand Pelletier
The purpose of this paper is to give some generalizations, in the context of Banach mani- folds, of Sussmann's results about the orbits of families of vector fields ([Su]). Essenti…
Snakes and articulated arms in an Hilbert space
Fernand Pelletier, Rebiha Saffidine
The purpose of this paper is to give an illustration of results on integrability of distributions and orbits of vector fields on Banach manifolds obtained in [Pe] and [LaPe]. Using…
Almost Lie structures on an anchored Banach bundle
Patrick Cabau, Fernand Pelletier
Under appropriate assumptions, we generalize the concept of linear almost Poisson struc- tures, almost Lie algebroids, almost differentials in the framework of Banach anchored bund…
Configuration Spaces of a Kinematic System and Monster Tower of Special Multi-Flags
Fernand Pelletier
In this note we show that the configuration spaces of the kinematic system constructed in [4] and [12] gives rise to a natural tower of sphere bundles. Moreover, we prove that, eac…