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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
Affiliation:
Departamento de Matemáticas, Universidad de León, 24071 León, Spain (antonio.cmartin@unileon.es)
Manuel Ritoré
Affiliation:
Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (ritore@ugr.es)

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
Copyright
Copyright © Royal Society of Edinburgh 2008

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