57 citations · 60 across the 7 of their papers we have counts for
5 papers · 1 filter
Entropy Bounds for Self-shrinkers with Symmetries
John Man Shun Ma, Ali Muhammad
In this work we derive explicit entropy bounds for two classes of closed self-shrinkers: the class of embedded closed self-shrinkers recently constructed in arXiv:2207.04851 using…
Rigidity results for mean curvature flow graphical translators moving in non-graphical direction
John Man Shun Ma, Yuan Shyong Ooi, Juncheol Pyo
In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any en…
Entropy Bounds, Compactness and Finiteness Theorems for Embedded Self-shrinkers with Rotational Symmetry
John Man Shun Ma, Ali Muhammad, Niels Martin Møller
In this work, we study the space of complete embedded rotationally symmetric self-shrinking hypersurfaces in . First, using comparison geometry in the context of…
Uniqueness Theorem for non-compact mean curvature flow with possibly unbounded curvatures
Man-Chun Lee, John Man-shun Ma
In this paper, we discuss uniqueness and backward uniqueness for mean curvature flow of non-compact manifolds. We use an energy argument to prove two uniqueness theorems for mean c…
Lagrangian angles of family of Lagrangian fibrations under mean curvature flow
John Man-shun Ma, Tom Yau-heng Wan
In this paper, we discuss the Lagrangian angles of a family of Lagrangian fibrations moved under mean curvature flow. In the case , the angle function is shown to satisfy a de…