Profiles of inflated surfaces
Differential Geometry
2015-05-13 v1
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.
Keywords
Cite
@article{arxiv.0907.5057,
title = {Profiles of inflated surfaces},
author = {Igor Pak and Jean-Marc Schlenker},
journal= {arXiv preprint arXiv:0907.5057},
year = {2015}
}
Comments
13 pages, 2 figures