Generalized Nambu system on S3 and spinors
Abstract
It is shown that the manifold S3 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 S3 is shown to be Nambu action. Moreover, we compare the action of SU(2) on spinors with that of a Nambu system.
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