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math-ph2001
Singularities, Structures and Scaling in Deformed Elastic m-Sheets
B. A. DiDonna, S. C. Venkataramani, T. A. Witten +1
The crumpling of a thin sheet can be understood as the condensation of elastic energy into a network of ridges which meet in vertices. Elastic energy condensation should occur in r…
math-ph2000
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…