Construction of many Hamiltonian stationary Lagrangian surfaces in Euclidean four-space

Anciaux, Henri
June 2003
Calculus of Variations & Partial Differential Equations;Jun2003, Vol. 17 Issue 2, p105
Academic Journal
We make a large use of aWeierstrass representation formula to describe a variety of Hamiltonian stationary Lagrangian surfaces. Among the examples we give are the already known tori and cones, but also simply periodic cylinders, singularities of non-conical type and branch points of any order.


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