Nambu-Lie group actions.
Page 1
Ciccoli, N. (2001)
Acta Mathematica Universitatis Comenianae. New Series
Vaisman, Izu (2000)
Journal of Lie Theory
Nobutada Nakanishi (2000)
Banach Center Publications
First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.
Jacek Dębecki (1998)
Archivum Mathematicum
A complete classification of natural transformations of symplectic structures into Poisson's brackets as well as into Jacobi's brackets is given.
Josef Janyška (2001)
Archivum Mathematicum
Let be a differentiable manifold with a pseudo-Riemannian metric and a linear symmetric connection . We classify all natural (in the sense of [KMS]) 0-order vector fields and 2-vector fields on generated by and . We get that all natural vector fields are of the form where is the vertical lift of , is the horizontal lift of with respect to , and are smooth real functions defined on . All natural 2-vector fields are of the form where , are smooth real functions defined...
Klaus Bering (2015)
Archivum Mathematicum
It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e. given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein’s splitting principle for Poisson manifolds.
Philippe Monnier, Nguyen Tien Zung (2006)
Annales mathématiques Blaise Pascal
We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.
Page 1