The tangent bundle $TS^n$ is diffeomorphic the $S^n \times \mathbb{R}^n$?
Comments: I was able to show that $TS^1$ is diffeomorphic the $S^1 \times \mathbb{R}$. For the case $n=2$, I believe it is not true, but I do not know how to justify it.
2026-03-26 18:57:07.1774551427
The tangent bundle $TS^n$ is diffeomorphic the $S^n \times \mathbb{R}^n$?
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