Parallelizable Spheres
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Parallelizable Spheres
Recall the following
Definition: A smooth manifold is called parallelizable if its tangent bundle is trivial.
For which $ n \in \mathbb{N} $ is the unit sphere $ \mathbb{S}^{n} $ parallelizable?
Definition: A smooth manifold is called parallelizable if its tangent bundle is trivial.
For which $ n \in \mathbb{N} $ is the unit sphere $ \mathbb{S}^{n} $ parallelizable?
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