Some isometric embedding and rigidity results for Riemannian manifolds
- 1 August 1981
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 78 (8) , 4657-4660
- https://doi.org/10.1073/pnas.78.8.4657
Abstract
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).Keywords
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