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Area-preserving mean curvature flow of rotationally symmetric hypersurfaces with free boundaries. (arXiv:1712.05918v1 [math.DG])
来源于:arXiv
In this paper, we consider the area-preserving mean curvature flow with free
Neumann boundaries. We show that for a rotationally symmetric $n$-dimensional
hypersurface in $\R^{n+1}$ between two parallel hyperplanes will converge to a
cylinder with the same area under this flow. We use the geometric properties
and the maximal principle to obtain gradient and curvature estimates, leading
to long-time existence of the flow and convergence to a constant mean curvature
surface. 查看全文>>
