Geometric Theory of Foliations, Page 28. The Lines 7 and 8 from below.
What does "the map $i$ is transverse to the vector field $X$ everywhere" mean?
2026-03-25 14:39:13.1774449553
What does "the map $i$ is transverse to the vector field $X$ everywhere" mean?
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It means that $i(B^{m-1})$ is nowhere tangent to $X$. You can infer this from the next two sentences as well since $\Phi^{-1}|_{V}$ is a diffeomorphism.