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).

Podrobná bibliografie

Vydáno v:	Proc Natl Acad Sci U S A
Hlavní autoři:	Berger, Eric, Bryant, Robert, Griffiths, Phillip
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	National Academy of Sciences 1981
Témata:	Physical Sciences: Mathematics
On-line přístup:	https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC320214/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593067/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.78.8.4657
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