Hi: I am going over Lee's Riemm. mflds, and there is an exercise that asks:(adsbygoogle = window.adsbygoogle || []).push({});

Let M<M' (< is subset) be an embedded submanifold.

Show that any vector field X on M can be extended to a vector field on M'.

Now, I don't know if he means that X can be extended to the _whole_ of

M', because otherwise, there is a counterexample:

dt/t on (0,1) as a subset of IR cannot be extended to the whole of IR.

Anyone know?.

What Would Gauss Do?

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# Extending Vector Fields.

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