Suppose a $C^\infty$ manifold $M$ is a closed regular submanifold of $N$. Prove that a $C^\infty$ vector field on $M$ can be extended to a $C^\infty$ vector field on $N$ . I have no idea how to create vector field on $N$ with the condition"closed regular submanifold". Would you offer me some thoughts?
2026-04-04 03:54:24.1775274864
Prove that a $C^\infty$ vector field on $M$ can be extended to a $C^\infty$ vector field on $N$ .
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