Mathematics – Differential Geometry
Scientific paper
2009-07-29
Journal of Nonlinear Mathematical Physics 17:2 (2010) 145-157
Mathematics
Differential Geometry
13 pages, 2 figures
Scientific paper
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.
Pak Igor
Schlenker Jean-Marc
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