A Note on Isometric Embeddings of Surfaces of Revolution

Details A Note on Isometric Embeddings of Surfaces of Revolution A Note on Isometric Embeddings of Surfaces of Revolution

2002-01-18

arxiv.org/abs/math/0201172v1

Amer. Math. Monthly, Vol. 111, (2004), pp-251-255

Mathematics

Differential Geometry

Scientific paper

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 Weyl type theorem with converse.

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