Parallel mean curvature tori in \(\mathbb{C}P^2\) and \(\mathbb{C}H^2\)

DOI10.2748/tmj/1537495357zbMath1404.53076arXiv1603.00905OpenAlexW2891549301MaRDI QIDQ1633890

Katsuei Kenmotsu

Publication date: 21 December 2018

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00905

zbMATH Keywords

parallel mean curvature vectorconstant mean curvature surfaces in complex space forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Parallel mean curvature biconservative surfaces in complex space forms ⋮ Special Liouville metric with the Ricci condition ⋮ Complete parallel mean curvature surfaces in two-dimensional complex space-forms

Cites Work

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• Parallel mean curvature surfaces in symmetric spaces
• Embedded constant mean curvature tori in the three-sphere
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• Constant Gaussian curvature surfaces with parallel mean curvature vector in two-dimensional complex space forms
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• Minimal Surfaces by Moving Frames
• Constant mean curvature tori in terms of elliptic functions.
• Totally Real Submanifolds with Nonnegative Sectional Curvature
• The classification of the surfaces with parallel mean curvature vector in two-dimensional complex space forms

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