Bounding dimension of ambient space by density for mean curvature flow

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74359For 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.13 pagesDifferential GeometryAnalysis of PDEs53C44Bounding dimension of ambient space by density for mean curvature flowtext