Some isometric embedding and rigidity results for Riemannian manifolds.
In this note, we announce some new results concerning rigidity and isometric embeddings of Riemannian manifolds. A special case of the main result states that a general M(n) [unk] R(n+r), r</=(n - 1)(n - 2)/2, is uniquely determined up to finitely many constants by its induced ds(2).
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138.
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