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Connections on Metriplectic Manifolds

微分几何 2007-05-23 v1 辛几何

摘要

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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引用

@article{arxiv.math/0605247,
  title  = {Connections on Metriplectic Manifolds},
  author = {Daniel Fish},
  journal= {arXiv preprint arXiv:math/0605247},
  year   = {2007}
}