Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems

M Gromov�- Bulletin of the American Mathematical Society, 2017 - ams.org
M Gromov
Bulletin of the American Mathematical Society, 2017ams.org
… �2016 American Mathematical Society 173 … Page 2 … In order to get an idea of what
kind of mathematics may lie in this “opposite direction”, we shall look at Nash’s theorems
and his proofs from a variety of different perspectives. …
Abstract
Is there anything interesting left in isometric embeddings after the problem had been solved by John Nash? We do not venture a definite answer, but we outline the boundary of our knowledge and indicate conjectural directions one may pursue further.
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