Parallel mean curvature surfaces in symmetric spaces

DOI10.1007/s11512-012-0170-zzbMath1308.53092arXiv1103.3279OpenAlexW2096134895MaRDI QIDQ2255155

Maria João Ferreira, Renato Tribuzy

Publication date: 6 February 2015

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3279

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Parallel mean curvature tori in \(\mathbb{C}P^2\) and \(\mathbb{C}H^2\) ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms ⋮ Complete parallel mean curvature surfaces in two-dimensional complex space-forms ⋮ Surfaces with parallel mean curvature in Sasakian space forms

Cites Work

• Surfaces with parallel mean curvature vector in complex space forms
• A Hopf theorem for ambient spaces of dimensions higher than three
• Existence and uniqueness of maps into affine homogeneous spaces
• Surfaces with parallel mean curvature in ℂℙⁿ×ℝ and ℂℍⁿ×ℝ
• Submanifolds with Constant Mean Curvature

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