Bounding dimension of ambient space by density for mean curvature flow

Maria Calle

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arXiv · math/0503023

Bounding dimension of ambient space by density for mean curvature flow

Maria Calle

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Abstract

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.

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Maria Calle. 2005-03-01. Bounding dimension of ambient space by density for mean curvature flow. https://arxiv.org/abs/math/0503023

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