English

Generalized Nambu system on S^3 and spinors

Mathematical Physics 2007-05-23 v1 Dynamical Systems math.MP

Abstract

It is shown that the manifold S^3 can be equipped with a natural Nambu structure arising out of a cross product on the tangent space. Further, the group action of SU(2) on S^3 is shown to be Nambu action. Moreover, we compare the action of SU(2) on spinors with that of a Nambu system.

Cite

@article{arxiv.math-ph/0002022,
  title  = {Generalized Nambu system on S^3 and spinors},
  author = {Sagar A. Pandit and Anil D. Gangal},
  journal= {arXiv preprint arXiv:math-ph/0002022},
  year   = {2007}
}

Comments

7 pages