Connections on Metriplectic Manifolds
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math/0605247,
title = {Connections on Metriplectic Manifolds},
author = {Daniel Fish},
journal= {arXiv preprint arXiv:math/0605247},
year = {2007}
}