J. Aust. Math. Soc.  78 (2005), 167-197

The isoperimetric problem on some singular surfaces

Andrew Cotton   acotton@math.berkeley.edu David Freeman   dfreeman@math.berkeley.edu Andrei Gnepp   gnepp@post.harvard.edu

Ting Ng   ngtf@seas.upenn.edu John Spivack     and Cara Yoder   cyoder@wso.williams.edu

Abstract

We characterize least-perimeter enclosures of prescribed area on some piecewise smooth manifolds, including certain polyhedra, double spherical caps, and cylindrical cans.

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