A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities
Differential Geometry
2023-12-08 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2311.15734,
title = {A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities},
author = {Filippo Gaia and Gerard Orriols and Tristan Rivière},
journal= {arXiv preprint arXiv:2311.15734},
year = {2023}
}