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 ([email protected])

a2 Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain ([email protected])

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)