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Conelike soap films spanning tetrahedra
Author(s):
Robert
Huff
Journal:
Trans. Amer. Math. Soc.
362
(2010),
5063-5081.
MSC (2000):
Primary 49Q05;
Secondary 51M04
Posted:
May 20, 2010
MathSciNet review:
2657672
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Abstract:
In this paper we provide the first examples of non-flat soap films proven to span tetrahedra. These are members of a continuous two parameter family of soap films with tetrahedral boundaries. Of particular interest is a two parameter subfamily where each spanning soap film has the property that two minimal surfaces meet along an edge of the boundary at an angle greater than  .
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Additional Information:
Robert
Huff
Affiliation:
Department of Mathematics, Abilene Christian University, Abilene, Texas 79699
Email:
rhuff3@gmail.com
DOI:
10.1090/S0002-9947-2010-04899-8
PII:
S 0002-9947(2010)04899-8
Received by editor(s):
December 21, 2007
Posted:
May 20, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
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