The structure of stable minimal surfaces near a singularity

DOI10.1307/mmj/1177681990zbMath1133.53005OpenAlexW2084700795MaRDI QIDQ2460991

William Hamilton III Meeks

Publication date: 19 November 2007

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1177681990

zbMATH Keywords

singularitiescurvature estimatesstable minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples
• One-sided complete stable minimal surfaces
• The minimal lamination closure theorem
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes