Second-order equations and local isometric immersions of pseudo-spherical surfaces
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: Communications in Analysis and Geometry
سال: 2016
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2016.v24.n3.a7