What is recorded here?
Established global isometric embedding results for Riemannian manifolds into Euclidean space under the regularity and dimensional conditions developed in the paper.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Nash’s sole-author 1956 smooth isometric-embedding paper. It is distinct from his 1954 C1 embedding theorem, later refinements, lower-dimensional bounds and applications of Nash embedding.
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People and systems
John Nash
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Documented countries / regions: United States
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English catalogue narrative
Nash: the imbedding problem for Riemannian manifolds
Established global isometric embedding results for Riemannian manifolds into Euclidean space under the regularity and dimensional conditions developed in the paper.
Scientific scope
The record is Nash’s sole-author 1956 smooth isometric-embedding paper. It is distinct from his 1954 C1 embedding theorem, later refinements, lower-dimensional bounds and applications of Nash embedding.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
John Nash
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.