%0 Journal Article %T Connections on Metriplectic Manifolds %A Daniel Fish %J Mathematics %D 2006 %I arXiv %X 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) tensor field will preserve both structures. %U http://arxiv.org/abs/math/0605247v1