Curvature estimates for CMC surfaces in three dimensional manifolds

DOI10.1007/S00209-004-0724-2zbMath1132.53303OpenAlexW1994328197MaRDI QIDQ1771993

Sirong Zhang

Publication date: 14 April 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0724-2

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

Compactness of constant mean curvature surfaces in a three-manifold with positive Ricci curvature ⋮ A stability result for translating spacelike graphs in Lorentz manifolds ⋮ Stability of spacelike surfaces with constant mean curvature in Lorentzian manifolds ⋮ The boundary behavior of domains with complete translating, minimal and CMC graphs in \(N^2\times\mathbb{R}\) ⋮ \(H\)-surfaces with arbitrary topology in hyperbolic 3-space ⋮ Multi-valued graphs in embedded constant mean curvature disks

Cites Work

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• The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Curvature estimates for minimal hypersurfaces
• General curvature estimates for stable \(H\)-surfaces immersed into a space form
• Minimal varieties in Riemannian manifolds
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Gauss curvature estimates for surfaces of constant mean curvature

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