Convergence of mean curvature flow in hyper-Kähler manifolds
Convergence of mean curvature flow in hyper-Kähler manifolds
Inspired by the work of Leung-Wan [LW07], we study the mean curvature flow in hyperkähler manifolds starting from hyper-Lagrangian submanifolds, a class of middle dimensional submanifolds, which contains the class of complex Lagrangian submanifolds.For each hyper-Lagrangian submanifold, we define a new energy concept called the twistor energy by means of …