A Note on Isometric Embeddings of Surfaces of Revolution
Martin Engman · American Mathematical Monthly · 2004
isometric embedding of the Riemannian manifold (S 2, g) into (R 3, can)? ” Here, can is the flat (i.e. canonical) metric on R 3. Solutions to this problem (of various orders of differentiability) have been given by, Weyl, [10], Nirenberg, [8], Heinz, [5], Alexandrov, [1], and Pogorelov, [9]. All of these results require that the Gauss