Surfaces with parallel mean curvature vector in complex space forms

DOI10.4310/JDG/1344430822zbMath1272.53051arXiv1011.5892OpenAlexW2963104101WikidataQ115170110 ScholiaQ115170110MaRDI QIDQ713188

Dorel Fetcu

Publication date: 26 October 2012

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5892

zbMATH Keywords

surfacescomplex space formsparallel mean curvature vectorholomorphic quadratic forms

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (11)

Parallel mean curvature tori in \(\mathbb{C}P^2\) and \(\mathbb{C}H^2\) ⋮ On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ Biharmonic surfaces with parallel mean curvature in complex space forms ⋮ Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms ⋮ Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes ⋮ Complete parallel mean curvature surfaces in two-dimensional complex space-forms ⋮ Parallel mean curvature surfaces in symmetric spaces ⋮ Minimal surfaces in the complex hyperquadric $Q_2$ II ⋮ Surfaces with parallel mean curvature in ℂℙⁿ×ℝ and ℂℍⁿ×ℝ ⋮ Surfaces with parallel mean curvature in Sasakian space forms

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