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Symplectic or contact structures on Lie Groups

Differential Geometry 2007-05-23 v1 Rings and Algebras Symplectic Geometry

Abstract

We study left invariant contact forms and left invariant symplectic forms on Lie groups. We give the classification of all symplectic structures on nilpotent Lie algebras up the dimension 6.

Keywords

Cite

@article{arxiv.math/0205290,
  title  = {Symplectic or contact structures on Lie Groups},
  author = {Y. Khakimdjanov and M. Goze and A. Medina},
  journal= {arXiv preprint arXiv:math/0205290},
  year   = {2007}
}

Comments

18 pages