Generalized Nambu system on S^3 and spinors

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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.
7 pages

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