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math.DG2022★ 1 cited
Uniqueness of Asymptotically Conical Gradient Shrinking Solitons in G_2-Laplacian Flow
Mark Haskins, Ilyas Khan, Alec Payne
We prove a uniqueness result for asymptotically conical (AC) gradient shrinking solitons for the Laplacian flow of closed G_2-structures: If two gradient shrinking solitons to Lapl…
math.DG2020
The Structure of Translating Surfaces with Finite Total Curvature
Ilyas Khan
In this paper, we prove that any mean curvature flow translator with finite total curvature and one end must be a plane. We also prove that if the transl…