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The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature

Published online by Cambridge University Press:  08 October 2008

Antonio Cañete  and
Manuel Ritoré
Antonio Cañete
Affiliation:
Departamento de Matemáticas, Universidad de León, 24071 León, Spain ([email protected])
Manuel Ritoré
Affiliation:
Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain ([email protected])
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Extract

In this work we describe the isoperimetric regions in complete symmetric annuli of revolution with Gauss curvature non-decreasing from the shortest parallel. This description allows us to complete the classification of isoperimetric regions in quadrics of revolution.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 5 , October 2008 , pp. 989 - 1003
Copyright
Copyright © Royal Society of Edinburgh 2008

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