Matthew McGonagle

most citedGaussian Harmonic Forms and Two-Dimensional Self-Shrinkers

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2013

Minimal Graphs and Graphical Mean Curvature Flow in $M \times R$

Matthew McGonagle, Ling Xiao

In this paper, we investigate the problem of finding minimal graphs in $M^{n} \times R$ with general boundary conditions using a variational approach. We look at so called gene…

math.DG2013

The Hyperplane is the Only Stable, Smooth Solution to the Isoperimetric Problem in Gaussian Space

Matthew McGonagle, John Ross

We study stable smooth solutions to the isoperimetric type problem for a Gaussian weight on Euclidean Space. That is, we study hypersurfaces $Σ^{n} \subset R^{n + 1}$ that are…

math.DG2012★ 1 cited

Gaussian Harmonic Forms and Two-Dimensional Self-Shrinkers

Matthew McGonagle

We consider 2-dimensional orientable self-shrinkers $Σ$ for the Mean Curvature Flow of polynomial volume growth immersed in $R^{n}$ . We look at closed one forms minimizing th…

Minimal Graphs and Graphical Mean Curvature Flow in M×R

The Hyperplane is the Only Stable, Smooth Solution to the Isoperimetric Problem in Gaussian Space

Gaussian Harmonic Forms and Two-Dimensional Self-Shrinkers

Minimal Graphs and Graphical Mean Curvature Flow in $M \times R$