The Willmore energy and curvature concentration

Raz Kupferman, Cy Maor, David Padilla-Garza

We study isometric immersions of a Riemannian surface $(\hat{I}\text{c◯},\mathfrak{g})$, where $\hat{I}\text{c◯}\subset {\mathbb{R}}^2$, into ${\mathbb{R}}^3$. We consider their bending energy, i.e., the square of th…