Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

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

Antonio Cañetea1 and Manuel Ritoréa2

a1 Departamento de Matemáticas, Universidad de León, 24071 León, Spain (antonio.cmartin@unileon.es)

a2 Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (ritore@ugr.es)

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.

(Received August 09 2007)

(Accepted September 20 2007)