3 papers
math.DG2026
Deforming area-preserving maps between surfaces by mean curvature flow coupled with Ricci flow
Ping-Hung Lee
We study a natural way to deform area-preserving maps between compact Riemann surfaces. Specifically, we evolve the metrics on the two Riemann surfaces by the normalized Ricci flow…
math.DG2026
Infinite-Time Singularities with Vanishing Mean Curvature for Lagrangian Mean Curvature Flow in Gibbons--Hawking Spaces
Ping-Hung Lee, Chung-Jun Tsai
We construct infinite-time singularities with vanishing mean curvature for Lagrangian mean curvature flow in Gibbons--Hawking spaces. We consider circle-invariant Lagrangian -sp…
math.DG2024
Dynamical Stability of Minimal Lagrangians in Kähler-Einstein Manifolds of Non-Positive Curvature
Ping-Hung Lee, Chung-Jun Tsai
It is known that minimal Lagrangians in Kähler--Einstein manifolds of non-positive scalar curvature are linearly stable under Hamiltonian deformations. We prove that they are also…