Consider the Möbius strip $M$ as a vector bundle over $\mathbb R$, in which it is embedded as the zero section. We have the tangent bundle $TM$ over $M$. How to prove that the pullback of this to $\mathbb R$ is nontrivial?
2026-04-06 10:56:50.1775473010
Nontriviality of pullback of tangent bundle on the Möbius bundle
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