Lipschitz-continuous local isometric immersions: rigid maps and origami
نویسندگان
چکیده
منابع مشابه
Lipschitz-continuous local isometric immersions: rigid maps and origami
A rigid map u : Ω ⊂ R → R is a Lipschitz-continuous map with the property that at every x ∈ Ω where u is differentiable then its gradient Du(x) is an orthogonal m × n matrix. If Ω is convex, then u is globally a short map, in the sense that |u(x) − u(y)| ≤ |x − y| for every x, y ∈ Ω; while locally, around any point of continuity of the gradient, u is an isometry. Our motivation to introduce Lip...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2008
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.02.011