Brian Harvie

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20192025

most citedInverse Mean Curvature Flow over Non-Star-Shaped Surfaces

4 citations · 7 across the 8 of their papers we have counts for

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math.DG2020

The Limit of the Inverse Mean Curvature Flow on a Torus

Brian Harvie

For an $H > 0$ rotationally symmetric embedded torus $N_{0} \subset R^{3}$ , evolved by Inverse Mean Curvature Flow, we show that the total curvature $∣ A ∣$ remains bounded up…

math.DG2020★ 1 cited

Inverse Mean Curvature Flow of Rotationally Symmetric Hypersurfaces

Brian Harvie

We prove that the Inverse Mean Curvature Flow of a non-star-shaped, mean-convex embedded sphere in $R^{n + 1}$ with symmetry about an axis and sufficiently long, thick necks…