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Connections on Metriplectic Manifolds

Daniel Fish
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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.

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Daniel Fish. 2006-05-10. Connections on Metriplectic Manifolds. https://arxiv.org/abs/math/0605247

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