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The isoperimetric problem on some singular surfaces

Part of: Manifolds Classical differential geometry

Published online by Cambridge University Press:  09 April 2009

Andrew Cotton ,
David Freeman ,
Andrei Gnepp ,
Ting Ng ,
John Spivack  and
Cara Yoder
Andrew Cotton
Affiliation:
C/o Frank Morgan Department of Mathematics Williams CollegeWilliamstown, MA 01267USA e-mail: Frank.Morgan@williams.edu acotton@math.berkeley.edu dfreeman@math.berkeley.edu gnepp@post.harvard.edu ngtf@seas.upenn.edu cyoder@wso.williams.edu
David Freeman
Affiliation:
C/o Frank Morgan Department of Mathematics Williams CollegeWilliamstown, MA 01267USA e-mail: Frank.Morgan@williams.edu acotton@math.berkeley.edu dfreeman@math.berkeley.edu gnepp@post.harvard.edu ngtf@seas.upenn.edu cyoder@wso.williams.edu
Andrei Gnepp
Affiliation:
C/o Frank Morgan Department of Mathematics Williams CollegeWilliamstown, MA 01267USA e-mail: Frank.Morgan@williams.edu acotton@math.berkeley.edu dfreeman@math.berkeley.edu gnepp@post.harvard.edu ngtf@seas.upenn.edu cyoder@wso.williams.edu
Ting Ng
Affiliation:
C/o Frank Morgan Department of Mathematics Williams CollegeWilliamstown, MA 01267USA e-mail: Frank.Morgan@williams.edu acotton@math.berkeley.edu dfreeman@math.berkeley.edu gnepp@post.harvard.edu ngtf@seas.upenn.edu cyoder@wso.williams.edu
John Spivack
Affiliation:
C/o Frank Morgan Department of Mathematics Williams CollegeWilliamstown, MA 01267USA e-mail: Frank.Morgan@williams.edu acotton@math.berkeley.edu dfreeman@math.berkeley.edu gnepp@post.harvard.edu ngtf@seas.upenn.edu cyoder@wso.williams.edu
Cara Yoder
Affiliation:
C/o Frank Morgan Department of Mathematics Williams CollegeWilliamstown, MA 01267USA e-mail: Frank.Morgan@williams.edu acotton@math.berkeley.edu dfreeman@math.berkeley.edu gnepp@post.harvard.edu ngtf@seas.upenn.edu cyoder@wso.williams.edu
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Abstract

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

MSC classification

Secondary: 49Q10: Optimization of shapes other than minimal surfaces 53A10: Minimal surfaces, surfaces with prescribed mean curvature
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 78 , Issue 2 , April 2005 , pp. 167 - 197
Copyright
Copyright © Australian Mathematical Society 2005

References

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