The second variation of the functional \(L\) of symplectic critical surfaces in Kähler surfaces

DOI10.1007/s40304-014-0040-zzbMath1315.53063OpenAlexW2086957791WikidataQ125725873 ScholiaQ125725873MaRDI QIDQ2341082

Jiayu Li, Xiao Li Han

Publication date: 22 April 2015

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-014-0040-z

zbMATH Keywords

Kähler surfaceholomorphic curvesymplectic critical surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

A variational characterization of complex submanifolds, The deformation of symplectic critical surfaces in a Kähler surface. II: Compactness, \(L_p\)-functional and \(J\)-holomorphic curves in Kähler manifolds, Upper bound of Kähler angles on the \(\beta\)-symplectic critical surfaces, Normal critical surfaces in \(\mathbb{C}P^2\), Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms

Cites Work

• Symplectic critical surfaces in Kähler surfaces
• The second variation of area of minimal surfaces in four-manifolds
• Minimal surfaces in Riemannian 4-manifolds
• Minimal Surfaces by Moving Frames