A note on surfaces with parallel mean curvature

DOI10.1016/j.crma.2011.10.012zbMath1229.53063arXiv1102.3335OpenAlexW2107764036MaRDI QIDQ650867

Dorel Fetcu, Harold Rosenberg

Publication date: 7 December 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3335

Mathematics Subject Classification ID

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

Related Items (3)

Biharmonic hypersurfaces in a conformally flat space ⋮ Some pinching theorems for minimal submanifolds in \(\mathbb S^m(1)\times\mathbb R\) ⋮ Constant mean curvature surfaces in \({\mathbb {M}}^2(c)\times \mathbb {R}\) and finite total curvature

Cites Work

• Unnamed Item
• Complete constant mean curvature surfaces in homogeneous spaces
• A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
• On subharmonic functions and differential geometry in the large
• A Hopf theorem for ambient spaces of dimensions higher than three
• Hypersurfaces with constant scalar curvature
• A theorem of Hopf and the Cauchy-Riemann inequality
• Minimal varieties in Riemannian manifolds
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Submanifolds of constant mean curvature

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