Parallelizable Spheres
Posted: Tue Jun 14, 2016 5:04 pm
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?