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math.DG2001
Deforming Area Preserving Diffeomorphism of Surfaces by Mean Curvature Flow
Mu-Tao Wang
Let f:Σ_1 --> Σ_2 be an area preserving diffeomorphism between compact Riemann surfaces of constant curvature. The graph of f can be viewed as a Lagrangian submanifold in Σ_1\times…
math.DG2001
Mean Curvature Flow of Surfaces in Einstein Four-Manifolds
Mu-Tao Wang
Let Σbe a compact oriented surface immersed in a four dimensional Kähler-Einstein manifold M. We consider the evolution of Σin the direction of its mean curvature vector. It is pro…