42 citations · 206 across the 23 of their papers we have counts for
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math.DG2011★ 16 cited
Poisson brackets with prescribed Casimirs
Pantelis A. Damianou, Fani Petalidou
We consider the problem of constructing Poisson brackets on smooth manifolds with prescribed Casimir functions. If is of even dimension, we achieve our construction by cons…
math.DG2007
The modular hierarchy of the Toda lattice
Maria A. Agrotis, Pantelis A. Damianou
The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investiga…
math.DG2006★ 4 cited
Integrable hierarchies and the modular class
Pantelis A. Damianou, Rui Loja Fernandes
We observe that the modular class of a Poisson-Nijhenhuis manifold has a canonical representative and that, under a cohomological assumption, this vector field is bi-hamiltonian. I…