arXiv subjects

John Man-shun Ma

Publications and source records attributed to John Man-shun Ma.

2 recordsLinked to original sources

arXiv2019

Uniqueness Theorem for non-compact mean curvature flow with possibly unbounded curvatures

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 curvature flow with possibly unbounded curvatures. These generalize the results by Chen and Yin. Using similar method, we also obtain a uniqueness result on Ricci flows. A backward uniqueness theorem is also proved for mean curvature flow with bounded curvatures.

math.DG↗

arXiv2011

Lagrangian angles of family of Lagrangian fibrations under mean curvature flow

In this paper, we discuss the Lagrangian angles of a family of Lagrangian fibrations moved under mean curvature flow. In the case $n=1$, the angle function is shown to satisfy a degenerated partial differential equation. We prove that any smooth solution to the equation also corresponds to smooth foliation of curves under mean curvature flow.

math.DG↗