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arXiv · 2311.15734

A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities

Filippo Gaia·Gerard Orriols·Tristan Rivière
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Abstract

We construct using variational methods Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. We obtain these surfaces through a convergence process reminiscent to the Ginzburg-Landau asymptotic analysis in the strongly repulsive regime. We describe in particular how the prescription of Schoen Wolfson conical singularities is related to optimal Wente constants.

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Filippo Gaia, Gerard Orriols, Tristan Rivière. 2023-11-27. A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. https://arxiv.org/abs/2311.15734

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