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      Profiles of inflated surfaces

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          Abstract

          We study the shape of inflated surfaces introduced in \cite{B1} and \cite{P1}. 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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          Volume increasing isometric deformations of convex polyhedra

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            New Geometrical Applications of the Elliptic Integrals The Mylar Balloon

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              Author and article information

              Journal
              29 July 2009
              10.1142/S140292511000057X
              0907.5057

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

              Custom metadata
              Journal of Nonlinear Mathematical Physics 17:2 (2010) 145-157
              13 pages, 2 figures
              math.DG

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