Nash embedding theorem
Teorema de inmersión de Nash
- Date
- 1954-1956 · confidence low
- Place
- Cambridge, Massachusetts, United States
- Credited to
- John Forbes Nash Jr.
- Field
- Knowledge & symbols
What was discovered
Theorem showing that every Riemannian manifold can be isometrically embedded into some Euclidean space, preserving the length of curves; a landmark result of differential geometry.
What it led to
- Abstract geometric understanding of manifolds
- Development of "convex integration" techniques
- Applications in general relativity
- Advances in modern geometric analysis