Limitations on the smooth confinement of an unstretchable manifold

S. C. Venkataramani, T. A. Witten, E. M. Kramer +1

We prove that an m-dimensional unit ball D^m in the Euclidean space {\mathbb R}^m cannot be isometrically embedded into a higher-dimensional Euclidean ball B_r^d \subset {\mathbb R…