Multi-valued graphs in embedded constant mean curvature disks

DOI10.1090/S0002-9947-06-04095-5zbMath1115.53010arXivmath/0409184MaRDI QIDQ3420305

Giuseppe Tinaglia

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409184

zbMATH Keywords

constant mean curvaturehelicoid

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Curvature estimates for constant mean curvature surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete constant mean curvature surfaces in Euclidean three-space
• Surfaces of revolution with periodic mean curvature
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. I: Estimates off the axis for disks
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks
• Curvature estimates for CMC surfaces in three dimensional manifolds
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. III: Planar domains
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes