An isoperimetric inequality for Hamiltonian stationary Lagrangian tori in ${\mathbb C}^2$ related to Oh's conjecture

Mathematische Zeitschrift ◽

10.1007/s00209-002-0438-2 ◽

2002 ◽

Vol 241 (3) ◽

pp. 639-664 ◽

Author(s):

Henri Anciaux

Keyword(s):

Isoperimetric Inequality ◽

Lagrangian Tori ◽

Hamiltonian Stationary

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The classification of Hamiltonian stationary Lagrangian tori in $${{\mathbb {CP}}^2}$$ by their spectral data

manuscripta mathematica ◽

10.1007/s00229-010-0425-6 ◽

2011 ◽

Vol 135 (3-4) ◽

pp. 437-468 ◽

Author(s):

Richard Hunter ◽

Ian McIntosh

Keyword(s):

Spectral Data ◽

Lagrangian Tori ◽

Hamiltonian Stationary

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The spectral data for Hamiltonian stationary Lagrangian tori in R4

Differential Geometry and its Applications ◽

10.1016/j.difgeo.2011.02.007 ◽

2011 ◽

Vol 29 (2) ◽

pp. 125-146 ◽

Author(s):

Ian McIntosh ◽

Pascal Romon

Keyword(s):

Spectral Data ◽

Lagrangian Tori ◽

Hamiltonian Stationary

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Darboux transforms and spectral curves of Hamiltonian stationary Lagrangian tori

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-009-0278-6 ◽

2009 ◽

Vol 38 (1-2) ◽

pp. 45-74 ◽

Author(s):

Katrin Leschke ◽

Pascal Romon

Keyword(s):

Spectral Curves ◽

Lagrangian Tori ◽

Hamiltonian Stationary ◽

Darboux Transforms

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Examples of Hamiltonian Stationary Lagrangian Tori in $$\mathbb{C}P^2$$

Geometriae Dedicata ◽

10.1007/s10711-005-9034-z ◽

2006 ◽

Vol 118 (1) ◽

pp. 173-183 ◽

Author(s):

Hui Ma ◽

Markus Schmies

Keyword(s):

Lagrangian Tori ◽

Hamiltonian Stationary

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The existence of Hamiltonian stationary Lagrangian tori in Kähler manifolds of any dimension

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-011-0457-0 ◽

2011 ◽

Vol 45 (1-2) ◽

pp. 231-251 ◽

Author(s):

Yng-Ing Lee

Keyword(s):

Kähler Manifolds ◽

Kahler Manifolds ◽

Lagrangian Tori ◽

Hamiltonian Stationary

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On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01901-7 ◽

2021 ◽

Vol 60 (2) ◽

Author(s):

Jingyi Chen ◽

John Man Shun Ma

Keyword(s):

Lagrangian Surfaces ◽

Kähler Surfaces ◽

Hamiltonian Stationary

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A generalization of the Discrete Isoperimetric Inequality for Piecewise Smooth Curves of Constant Geodesic Curvature

Periodica Mathematica Hungarica ◽

10.1007/s10998-006-0026-z ◽

2006 ◽

Vol 53 (1-2) ◽

pp. 121-131 ◽

Author(s):

Balázs Csikós ◽

Zsolt Lángi ◽

Márton Naszódi

Keyword(s):

Isoperimetric Inequality ◽

Geodesic Curvature ◽

Piecewise Smooth ◽

Smooth Curves ◽

Constant Geodesic Curvature

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Lagrangian tori in a symplectic vector space and global symplectomorphisms

Mathematische Zeitschrift ◽

10.1007/bf02621615 ◽

1996 ◽

Vol 223 (1) ◽

pp. 547-559 ◽

Author(s):

Yu. V. Chekanov

Keyword(s):

Vector Space ◽

Lagrangian Tori ◽

Symplectic Vector Space

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A Generalization of the Isoperimetric Inequality on S 2 and Flat Tori in S 3

Proceedings of the American Mathematical Society ◽

10.2307/2159894 ◽

1994 ◽

Vol 120 (2) ◽

pp. 553

Author(s):

Kazuyuki Enomoto

Keyword(s):

Isoperimetric Inequality ◽

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A sharp isoperimetric inequality for rank one symmetric spaces

manuscripta mathematica ◽

10.1007/s00229-003-0359-3 ◽

2003 ◽

Vol 111 (1) ◽

pp. 97-104

Author(s):

Thorsten Thies

Keyword(s):

Isoperimetric Inequality ◽

Symmetric Spaces ◽

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