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math.AP2018★ 59 cited
Deforming a hypersurface by principal radii of curvature and support function
Mohammad N. Ivaki
We study the motion of smooth, closed, strictly convex hypersurfaces in expanding in the direction of their normal vector field with speed depending on the th…
math.DG2018
Low complexity solutions of the Allen-Cahn equation on three-spheres
Robert Haslhofer, Mohammad N. Ivaki
In this short note, we prove that on the three-sphere with any bumpy metric there exist at least four solutions of the Allen-Cahn equation with spherical interface and index at mos…