Structures bihamiltoniennes partielles

Abstract

We introduce three notions of partial bihamiltonian structures ($\mathrm{PQ}$, $\mathrm{PN}$ et $\mathrm{P}\hat{\mathrm{I}}\text{c◯}$) in the convenient setting defined by Frölicher, Kriegl and Michor. We study geometrical objects linked with these structures and give examples in finite and infinite dimensions.

in French