Hamiltonian stationary maps with infinitely many singularities

Fuente: arXiv
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Autore principale: Gaia, Filippo
Natura: Preprint
Pubblicazione: 2024
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author Gaia, Filippo
author_facet Gaia, Filippo
contents For any $k\in \mathbb{N}$ we construct an Hamiltonian stationary Lagrangian map from a disc to $\mathbb{C}^2$ with infinitely many Schoen-Wolfson singularities which is of class $C^k$ up to the boundary and has smooth trace.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09344
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hamiltonian stationary maps with infinitely many singularities
Gaia, Filippo
Differential Geometry
Analysis of PDEs
53D12, 53C42
For any $k\in \mathbb{N}$ we construct an Hamiltonian stationary Lagrangian map from a disc to $\mathbb{C}^2$ with infinitely many Schoen-Wolfson singularities which is of class $C^k$ up to the boundary and has smooth trace.
title Hamiltonian stationary maps with infinitely many singularities
topic Differential Geometry
Analysis of PDEs
53D12, 53C42
url https://arxiv.org/abs/2406.09344