Hamiltonian stationary self-similar solutions for Lagrangian mean curvature flow in complex Euclidean plane

Abstract

We classify all Hamiltonian stationary Lagrangian surfaces in complex Euclidean plane which are self-similar solutions of the mean curvature flow.

14 pages

References in corpus (1)

• A canonical way to deform a Lagrangian submanifold

Cited by in corpus (3)

• The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow
• A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves
• Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space