The deformation of symplectic critical surfaces in a Kähler surface. II: Compactness

DOI10.1007/s00526-017-1175-zzbMath1380.53063arXiv1607.01606OpenAlexW2963793061WikidataQ125820068 ScholiaQ125820068MaRDI QIDQ2403781

Jiayu Li, Jun Sun, Xiao Li Han

Publication date: 12 September 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01606

zbMATH Keywords

Kähler angleKähler surface\(\beta\)-symplectic critical surfacecompact oriented real surface immersed in Kähler surface

Mathematics Subject Classification ID

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

Related Items (5)

Upper bound of Kähler angles on the \(\beta\)-symplectic critical surfaces ⋮ Normal critical surfaces in \(\mathbb{C}P^2\) ⋮ Unnamed Item ⋮ Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms ⋮ Gradient Flow of the $L_β$-Functional

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic critical surfaces in Kähler surfaces
• Singularities of symplectic and Lagrangian mean curvature flows
• The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
• Minimal surfaces in Kähler surfaces and Ricci curvature
• The second variation of area of minimal surfaces in four-manifolds
• Existence of surfaces minimizing the Willmore functional
• Detecting quaternionic maps between hyperkähler manifolds
• The second variation of the functional \(L\) of symplectic critical surfaces in Kähler surfaces
• Minimal Surfaces by Moving Frames
• On Minimal Surfaces in a Kahler Manifold of Constant Holomorphic Sectional Curvature
• Differential equations on riemannian manifolds and their geometric applications
• Elliptic Partial Differential Equations of Second Order
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

This page was built for publication: The deformation of symplectic critical surfaces in a Kähler surface. II: Compactness