Concepedia

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

Ildefonso Castro, Ana M. Lerma

Proceedings of the American Mathematical Society · 2009 · 26 citations · 20 references

Open access

Concepts

Natural SciencesAerospace EngineeringFluid MechanicsComplex GeometryDifferential GeometryHamiltonian MechanicsHamiltonian SystemsLagrangian MechanicsRiemannian GeometryGeometric MechanicsHamiltonian FlowsMean CurvatureMean Curvature FlowStationary Solutions

Abstract

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

References

20