Complete parallel mean curvature surfaces in two-dimensional complex space-forms

DOI10.1007/s00574-018-0081-0zbMath1407.53059arXiv1712.07757OpenAlexW2963205247WikidataQ130128559 ScholiaQ130128559MaRDI QIDQ1757103

Katsuei Kenmotsu

Publication date: 2 January 2019

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07757

zbMATH Keywords

mean curvature vectorJacobi elliptic functioncomplex space-formparallel mean curvature surface

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 (4)

Special slant surfaces with non-constant mean curvature in 2-dimensional complex space forms ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms ⋮ Special Liouville metric with the Ricci condition

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