Bounding dimension of ambient space by density for mean curvature flow
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/0503023,
title = {Bounding dimension of ambient space by density for mean curvature flow},
author = {Maria Calle},
journal= {arXiv preprint arXiv:math/0503023},
year = {2007}
}
Comments
13 pages