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Results tagged with embeddings
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user 3948
45
votes
Accepted
Questions on J. F. Nash's answer about his errors in the proof of embedding theorem
Igor already answered questions 1 and 2.
What Nash wrote is an attempt to describe to a non-expert audience the solution scheme he had for non-compact manifolds. In the noncompact case he proceeds …
- 39k
2
votes
Accepted
Ricci scalar of submanifold of $\mathbf R^n$
This is an extended comment answering Ricci scalar of sub-manifold of $\mathbf R^n$
Assuming the $f_i$ are independent, at every point $x$ their gradients span the orthogonal complement to the tangent …
- 39k