Given a manifold say for example $S^n$, I know the meaning/definition of "tangent bundle". But what is the meaning or definition of its "trivial bundle"?
2026-03-24 22:08:22.1774390102
Confusion on tangent bundle and trivial bundle
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The trivial $n$-plane bundle over a manifold $M$ of dimension $k$ is the $k+n$-manifold $$ E = M \times \Bbb R^n $$ with the projection map $P: E \to M : (m, v) \mapsto m$.