Nash: the imbedding problem for Riemannian manifolds

What changed

Established a smooth isometric embedding existence theorem for broad Riemannian manifolds in Euclidean space.

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.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. 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.

Contributors

• John Nash · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• JSTOR record for Nash embedding paper
• University-hosted Nash paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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