A global pinching theorem for compact surfaces inS 3 with constant mean curvature

DOI10.1007/BF02108153zbMath0877.53047OpenAlexW2110233204MaRDI QIDQ4897046

Haizhong Li, Ze-Jun Hu

Publication date: 26 November 1997

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108153

zbMATH Keywords

3-sphereconstant mean curvaturecompact surfaceglobal pinching theorem

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)

Cites Work

• Unnamed Item
• On the total curvature of immersed manifolds. II
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Stability of Surfaces with Constant Mean Curvature
• A Global Pinching Theorem for Compact Minimal Surfaces in S 3
• A Global Pinching Theorem of Minimal Hypersurfaces in the Sphere
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length