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arXiv:math/0503023 [math.DG]AbstractReferencesReviewsResources

Bounding dimension of ambient space by density for mean curvature flow

Maria Calle

Published 2005-03-01Version 1

For 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.

Comments: 13 pages
Categories: math.DG, math.AP
Subjects: 53C44
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