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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 …
Willie Wong's user avatar
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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 …
Willie Wong's user avatar