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$$S^ 3$$-bundles and exotic actions. (English) Zbl 0573.57010
Explicit representatives for all principal bundles with group $$S^ 3$$ and SO(4) over $$S^ 4$$ and $$S^ 7$$ are constructed and insight is gained into the free $$S^ 3$$-action on $$S^ 7\times S^ 3$$ with quotient a seven-dimensional sphere with nonstandard differentiable structure.
Reviewer: H.Hösli

##### MSC:
 57R22 Topology of vector bundles and fiber bundles 57S25 Groups acting on specific manifolds 57R60 Homotopy spheres, Poincaré conjecture
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##### References:
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