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math.DG2002
A Note on Isometric Embeddings of Surfaces of Revolution
Martin Engman
In the special case of S^1 invariant metrics on S^2, we find necessary and sufficient conditions for the existence of isometric embeddings into the canonical R^3, in other words: a…
math.DG1999★ 1 cited
The spectrum and isometric embeddings of surfaces of revolution
Martin Engman
An upper bound on the first S^1 invariant eigenvalue of the Laplacian for invariant metrics on the 2-sphere is used to find obstructions to the existence of isometric embeddings of…