Symplectic critical surfaces in Kähler surfaces

DOI10.4171/JEMS/207zbMath1204.58013arXiv0711.2211OpenAlexW2963765790MaRDI QIDQ967466

Jiayu Li, Xiao Li Han

Publication date: 29 April 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2211

zbMATH Keywords

holomorphic curveKähler surfacessymplectic surface

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (15)

A variational characterization of complex submanifolds ⋮ The deformation of symplectic critical surfaces in a Kähler surface. II: Compactness ⋮ Symplectic mean curvature flow in \(\mathbb CP^{2}\) ⋮ \(L_p\)-functional and \(J\)-holomorphic curves in Kähler manifolds ⋮ Upper bound of Kähler angles on the \(\beta\)-symplectic critical surfaces ⋮ Normal critical surfaces in \(\mathbb{C}P^2\) ⋮ A mean-curvature flow along a Kähler–Ricci flow ⋮ Unnamed Item ⋮ Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms ⋮ Generalized symplectic mean curvature flows in almost Einstein surfaces ⋮ Gradient Flow of the $L_β$-Functional ⋮ On the Taylor's joint spectrum of 2n-tuple \((L_ A,R_ B)\) ⋮ The Symplectic Critical Surfaces in a Kähler Surface ⋮ Berger's formulas and their applications in symplectic mean curvature flow ⋮ The second variation of the functional \(L\) of symplectic critical surfaces in Kähler surfaces

Cites Work

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• Minimal surfaces in Kähler surfaces and Ricci curvature
• The second variation of area of minimal surfaces in four-manifolds
• Minimal surfaces in Riemannian 4-manifolds
• Minimal surfaces in a Kähler surface
• An outline of the theory of pseudoanalytic functions
• TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS
• Minimal Surfaces by Moving Frames
• On Minimal Surfaces in a Kahler Manifold of Constant Holomorphic Sectional Curvature

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