Bilipschitz extensions from smooth manifolds.
We prove that every compact C1-submanifold of Rn, with or without boundary, has the bilipschitz extension property in Rn.
Bootstrapping Kirszbraun's extension theorem
We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.