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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