Least-perimeter partitions of the disk into three regions of given areas

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dc.creatorCañete, Antonio
dc.creatorRitoré, Manuel
dc.date2003-07-15
dc.date.accessioned2026-07-07T04:59:40Z
dc.date.available2026-07-07T04:59:40Z
dc.descriptionWe prove that the unique least-perimeter way of partitioning the unit 2-dimensional disk into three regions of prescribed areas is by means of the standard graph consisting in three balanced constant geodesic curvature curves meeting themselves at 120 degrees, and reaching orthogonally the boundary of the disk.
dc.description19 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0307207
dc.identifierhttp://arxiv.org/abs/math/0307207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68079
dc.subjectDifferential Geometry
dc.subject49Q10 (Primary) 51M25 (Secondary)
dc.titleLeast-perimeter partitions of the disk into three regions of given areas
dc.typetext

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