Journal
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Volume 17, Issue 2, Pages 145-157Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1142/S140292511000057X
Keywords
Inflated surface; geodesic distance; short embedding; Mylar balloon; convex polyhedron
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Funding
- NSF
- NSA
- MIT-France
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We study the shape of inflated surfaces introduced in [3] and [12]. More precisely, we analyze profiles of surfaces obtained by inflating a convex polyhedron, or more generally an almost everywhere flat surface, with a symmetry plane. We show that such profiles are in a one-parameter family of curves which we describe explicitly as the solutions of a certain differential equation.
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