The isoperimetric problem in spherical cylinders

dc.creatorPedrosa, RHL
dc.date2004
dc.dateNOV
dc.date2014-11-14T13:22:39Z
dc.date2015-11-26T16:06:41Z
dc.date2014-11-14T13:22:39Z
dc.date2015-11-26T16:06:41Z
dc.date.accessioned2018-03-28T22:55:31Z
dc.date.available2018-03-28T22:55:31Z
dc.identifierAnnals Of Global Analysis And Geometry. Kluwer Academic Publ, v. 26, n. 4, n. 333, n. 354, 2004.
dc.identifier0232-704X
dc.identifierWOS:000224990900002
dc.identifier10.1023/B:AGAG.0000047528.20962.e2
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/73573
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/73573
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/73573
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1265978
dc.descriptionThe 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.
dc.description26
dc.description4
dc.description333
dc.description354
dc.languageen
dc.publisherKluwer Academic Publ
dc.publisherDordrecht
dc.publisherHolanda
dc.relationAnnals Of Global Analysis And Geometry
dc.relationAnn. Glob. Anal. Geom.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectisoperimetric problem
dc.subjectsymmetrization
dc.subjectconstant mean curvature submanifolds
dc.subjectRiemannian-manifolds
dc.subjectMinimal-surfaces
dc.subjectCurvature
dc.subjectRegularity
dc.subjectSpaces
dc.subjectInequality
dc.subjectTheorems
dc.subjectProfile
dc.subjectDomains
dc.subjectVolume
dc.titleThe isoperimetric problem in spherical cylinders
dc.typeArtículos de revistas


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