A Note on Isometric Embeddings of Surfaces of Revolution

Martin Engman

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A Note on Isometric Embeddings of Surfaces of Revolution

Martin Engman

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Abstract

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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BibTeX RIS

Martin Engman. 2002-01-18. A Note on Isometric Embeddings of Surfaces of Revolution. https://arxiv.org/abs/math/0201172

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