Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms

DOI10.1142/S0129167X19500277zbMath1417.53064OpenAlexW2936095799WikidataQ125939965 ScholiaQ125939965MaRDI QIDQ5383337

Ling He, Jiayu Li

Publication date: 21 June 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x19500277

zbMATH Keywords

complex space formparallel normalized mean curvature vectorrotationally symmetricsymplectic critical surface

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Exterior differential systems (Cartan theory) (58A15)

Cites Work

• Surfaces with parallel mean curvature vector in complex space forms
• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• Correction to ``Surfaces with parallel mean curvature vector in \(P^{2}(C)\)
• Symplectic critical surfaces in Kähler surfaces
• Special slant surfaces and a basic inequality
• Complete parallel mean curvature surfaces in two-dimensional complex space-forms
• Surfaces with parallel mean curvature vector in \(P^ 2(\mathbb C)\)
• Parallel mean curvature surfaces in symmetric spaces
• The second variation of the functional \(L\) of symplectic critical surfaces in Kähler surfaces
• The deformation of symplectic critical surfaces in a Kähler surface. II: Compactness
• Constant Gaussian curvature surfaces with parallel mean curvature vector in two-dimensional complex space forms
• Correction to “The classification of the surfaces with parallel mean curvature vector in two-dimensional complex space forms”
• The Symplectic Critical Surfaces in a Kähler Surface
• Minimal Surfaces by Moving Frames
• The Deformation of Symplectic Critical Surfaces in a Kähler Surface-I
• The classification of the surfaces with parallel mean curvature vector in two-dimensional complex space forms

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