Flexibility of the isometric immersion system in arbitrary dimension and codimension and the energy scaling of prestrained thin films

Marta Lewicka, Hui Li

We prove that, for a given $C^{r,\beta }$-regular Riemann metric posed on a $d$-dimensional domain, every short immersion into the Euclidean space ${\mathbb{R}}^{d+k}$, can be uniformly a…