This is really just a general question of interest: can every smooth n-manifold be embedded (in R(adsbygoogle = window.adsbygoogle || []).push({}); ^{2n+1}say) so that it coincides with an affine variety over R? Does anyone know of any results on this?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Smooth manifolds and affine varieties

**Physics Forums | Science Articles, Homework Help, Discussion**