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math.DG2009★ 7 cited
Hamiltonian stationary self-similar solutions for Lagrangian mean curvature flow in complex Euclidean plane
Ildefonso Castro, Ana M. Lerma
We classify all Hamiltonian stationary Lagrangian surfaces in complex Euclidean plane which are self-similar solutions of the mean curvature flow.
math.DG2009
Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space
Henri Anciaux, Ildefonso Castro
We describe several families of Lagrangian submanifolds in the complex Euclidean space which are H-minimal, i.e. critical points of the volume functional restricted to Hamiltonian…