Peter J. McGrath

activity

20142023

most citedClosed Mean Curvature Self-Shrinking Surfaces of Generalized Rotational Type

3 citations · 4 across the 9 of their papers we have counts for

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Showing 2016 · math.DGShow all

3 papers · 2 filters

math.DG2016

Rotational Symmetry of Asymptotically Conical Mean Curvature Flow Self-Expanders

Frederick Tsz-Ho Fong, Peter McGrath

In this article, we examine complete, mean-convex self-expanders for the mean curvature flow whose ends have decaying principal curvatures. We prove a Liouville-type theorem associ…

math.DG2016

A Characterization of the Critical Catenoid

Peter McGrath

We show that an embedded minimal annulus $Σ^{2} \subset B^{3}$ which intersects $\partial B^{3}$ orthogonally and is invariant under reflection through the coordinate planes is the criti…

math.DG2016

Free Boundary Minimal Surfaces in the Unit Ball With Low Cohomogeneity

Brian Freidin, Mamikon Gulian, Peter McGrath

We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each pair of positive integers $(m, n)$ such that $m, n > 1$ and $m + n \geq 8$ , we construct a free b…