On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces. / Chen, Jingyi; Ma, Man Shun.

I: Calculus of Variations and Partial Differential Equations, Bind 60, 75, 2021, s. 1-22.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Chen, J & Ma, MS 2021, 'On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces', Calculus of Variations and Partial Differential Equations, bind 60, 75, s. 1-22. https://doi.org/10.1007/s00526-020-01901-7

APA

Chen, J., & Ma, M. S. (2021). On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces. Calculus of Variations and Partial Differential Equations, 60, 1-22. [75]. https://doi.org/10.1007/s00526-020-01901-7

Vancouver

Chen J, Ma MS. On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces. Calculus of Variations and Partial Differential Equations. 2021;60:1-22. 75. https://doi.org/10.1007/s00526-020-01901-7

Author

Chen, Jingyi ; Ma, Man Shun. / On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces. I: Calculus of Variations and Partial Differential Equations. 2021 ; Bind 60. s. 1-22.

Bibtex

@article{ab13b34cf41f44e3a8fb1b84707db8aa,
title = "On the compactness of Hamiltonian stationary Lagrangian surfaces in K{\"a}hler surfaces",
abstract = "We prove a bubble tree convergence theorem for a sequence of closed Hamiltonian stationary Lagrangian surfaces with bounded areas and Willmore energies in a complete K{\"a}hler surface. We also prove two strong compactness theorems on the space of Hamiltonian stationary Lagrangian tori in C^2 and CP^2 respectively.",
author = "Jingyi Chen and Ma, {Man Shun}",
year = "2021",
doi = "10.1007/s00526-020-01901-7",
language = "English",
volume = "60",
pages = "1--22",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer",

}

RIS

TY - JOUR

T1 - On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces

AU - Chen, Jingyi

AU - Ma, Man Shun

PY - 2021

Y1 - 2021

N2 - We prove a bubble tree convergence theorem for a sequence of closed Hamiltonian stationary Lagrangian surfaces with bounded areas and Willmore energies in a complete Kähler surface. We also prove two strong compactness theorems on the space of Hamiltonian stationary Lagrangian tori in C^2 and CP^2 respectively.

AB - We prove a bubble tree convergence theorem for a sequence of closed Hamiltonian stationary Lagrangian surfaces with bounded areas and Willmore energies in a complete Kähler surface. We also prove two strong compactness theorems on the space of Hamiltonian stationary Lagrangian tori in C^2 and CP^2 respectively.

U2 - 10.1007/s00526-020-01901-7

DO - 10.1007/s00526-020-01901-7

M3 - Journal article

VL - 60

SP - 1

EP - 22

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

M1 - 75

ER -

ID: 322574863