Curvature estimates for surfaces with bounded mean curvature

DOI10.1090/S0002-9947-2012-05487-0zbMath1277.53005arXiv1007.3425MaRDI QIDQ2844731

Giuseppe Tinaglia, Theodora Bourni

Publication date: 19 August 2013

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

Full work available at URL: https://arxiv.org/abs/1007.3425

zbMATH Keywords

areasecond fundamental formminimal surfacescurvature boundstotal curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

\(C^{1,\alpha}\)-regularity for surfaces with \(H\in L^p\) ⋮ Curvature estimates for constant mean curvature surfaces

Cites Work

• The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
• Curvature estimates for minimal hypersurfaces
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
• On the isometric minimal immersion into a Euclidean space
• Interior curvature estimates for hypersurfaces of prescribed mean curvature
• Minimal varieties in Riemannian manifolds
• Curvature estimates for minimal surfaces with total boundary curvature less than 4$\pi $
• Shapes of embedded minimal surfaces
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