If you embed a manifold $M$ in Euclidean space, is the normal bundle always trivial? Or give an example with non-trivial normal bundle.
2026-04-04 00:15:19.1775261719
is normal bundle of a manifold trivial?
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If $M$ is non-orientable, its normal bundle must also be non-orientable (or you could use it to find an orientation on $M$ itself).