I want to know why it holds that, for some smooth manifold $M$,
$T_pM \cong T_x(T_pM)$
where $x \in T_pM$.
My main questions:
-How does the isomorphism look? -As far as I know, the tangent space is defined for manifolds, is $T_pM$ a manifold itself?
2026-03-25 14:31:39.1774449099
Tangent space to the tangent space
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