Bounding dimension of ambient space by density for mean curvature flow

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dc.creatorCalle, Maria
dc.date2005-03-01
dc.date.accessioned2026-07-07T05:17:35Z
dc.date.available2026-07-07T05:17:35Z
dc.descriptionFor an ancient solution of the mean curvature flow, we show that each time slice M_t is contained in an affine subspace with dimension bounded in terms of the density and the dimension of the evolving submanifold. Recall that an ancient solution is a family M_t that evolves under mean curvature flow for all negative time t.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0503023
dc.identifierhttp://arxiv.org/abs/math/0503023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74359
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44
dc.titleBounding dimension of ambient space by density for mean curvature flow
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