3 papers
math.DG2008
Width and flow of hypersurfaces by curvature functions
Maria Calle, Stephen J. Kleene, Joel Kramer
We give a bound on the extinction time for a compact, strictly convex hypersurface in R^{n+1} evolving by a geometric flow where the velocity is given in terms of the curvature. Th…
math.DG2008
Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds
Maria Calle, Darren Lee
We show that there exists a metric with positive scalar curvature on S2xS1 and a sequence of embedded minimal cylinders that converges to a minimal lamination that, in a neighborho…
math.DG2005
Bounding dimension of ambient space by density for mean curvature flow
Maria Calle
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 dimen…