62 citations · 76 across the 3 of their papers we have counts for
3 papers
math.SG2000★ 14 cited
Duality and modular class of a Nambu-Poisson structure
R. Ibanez, M. de Leon, B. Lopez +2
In this paper we introduce cohomology and homology theories for Nambu-Poisson manifolds. Also we study the relation between the existence of a duality for these theories and the va…
math.SG2000
On Symplectically Harmonic Forms on Six-dimensional Nilmanifolds
R. Ibáñez, Yu. Rudyak, A. Tralle +1
In the present paper we study the variation of the dimensions of spaces of symplectically harmonic cohomology classes (in the sense of Brylinski) on closed symplectic manifol…
math-ph1999★ 62 cited
Leibniz algebroid associated with a Nambu-Poisson structure
R. Ibanez, M. de Leon, J. C. Marrero +1
The notion of Leibniz algebroid is introduced, and it is shown that each Nambu-Poisson manifold has associated a canonical Leibniz algebroid. This fact permits to define the modula…