$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S}\ldots$

the Nash embedding theorem?


Who?
Ariane Beier (University of Potsdam)
When?
2013/05/03, 13:00
Before the BMS Friday Colloquium by Prof. László Székelyhidi
Where?
Urania Berlin, at the BMS Loft (3rd floor)
About what?

The notion of a Riemannian manifold evolved from more concrete objects like surfaces in three-dimensional Euclidean space. But how much more general is this concept?
Nash's embedding theorem gives one answer to the question whether or not a Riemannian manifold can be isometrically embedded into Euclidean space. It provides surprising and, at first glance, inconsistent results which we want to illustrate by considering the example of a flat torus.