6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DG2006
Connections on Metriplectic Manifolds
Daniel Fish
In this note we discuss conditions under which a linear connection on a manifold equipped with both a symmetric (Riemannian) and a skew-symmetric (almost-symplectic or Poisson) ten…
math-ph2005★ 6 cited
Dissipative Perturbations of 3d Hamiltonian Systems
Daniel Fish
In this article we present some results concerning natural dissipative perturbations of 3d Hamiltonian systems. Given a Hamiltonian system dx/dt = PdH, and a Casimir function S, we…
math.SG2004★ 1 cited
On the Integrability of Orthogonal Distributions in Poisson Manifolds
Dan Fish, Serge Preston
We study conditions for the integrability of the distribution defined on a regular Poisson manifold as the orthogonal complement (with respect to some (pseudo)-Riemannian metric) t…