Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/73573
Type: Artigo de periódico
Title: The isoperimetric problem in spherical cylinders
Author: Pedrosa, RHL
Abstract: The classical isoperimetric problem for volumes is solved in R x S-n(1). Minimizers are shown to be invariant under the group O(n) acting standardly on S-n, via a symmetrization argument, and are then classified. Solutions are found among two ( one-parameter) families: balls and sections of the form [ a, b] x S-n. It is shown that the minimizers may be of both types. For n = 2, it is shown that the transition between the two families occurs exactly once. Some results for general n are also presented.
Subject: isoperimetric problem
symmetrization
constant mean curvature submanifolds
Country: Holanda
Editor: Kluwer Academic Publ
Rights: fechado
Identifier DOI: 10.1023/B:AGAG.0000047528.20962.e2
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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