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math.DG2012
Singularities of Axially Symmetric Volume Preserving Mean Curvature Flow
Maria Athanassenas, Sevvandi Kandanaarachchi
We investigate the formation of singularities for surfaces evolving by volume preserving mean curvature flow. For axially symmetric flows - surfaces of revolution - in $\mathbb{R}^…
math.DG2011★ 4 cited
On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow
Maria Athanassenas, Sevvandi Kandanaarachchi
We study the convergence of an axially symmetric hypersurface evolving by volume preserving mean curvature flow. Assuming the surface is not pinching off along the axis at any time…