Minimal Lagrangian surfaces in ℂP^2 via the loop group method Part II: The general case
arxiv(2024)
摘要
We extend the techniques introduced in for contractible Riemann
surfaces to construct minimal Lagrangian immersions from arbitrary Riemann
surfaces into ℂP^2 via the loop group method. Based on the
potentials of translationally equivariant minimal Lagrangian surfaces, we
introduce perturbed equivariant minimal Lagrangian surfaces in ℂP^2
and construct a class of minimal Lagrangian cylinders. Furthermore, we show
that these minimal Lagrangian cylinders approximate Delaunay cylinders with
respect to some weighted Wiener norm of the twisted loop group Λ
SU(3)_σ.
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