Hostname: page-component-7b9c58cd5d-g9frx Total loading time: 0 Render date: 2025-03-15T17:36:53.192Z Has data issue: false hasContentIssue false
  • English
  • Français

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 (antonio.cmartin@unileon.es)
Manuel Ritoré
Affiliation:
Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (ritore@ugr.es)
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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