A global pinching theorem for surfaces with constant mean curvature in $S^3$

DOI10.1090/S0002-9939-01-06030-0zbMath0990.53062OpenAlexW2163606316MaRDI QIDQ2750899

Yi Jung Hsu, Tai-Ho Wang

Publication date: 21 October 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06030-0

zbMATH Keywords

spheremean curvaturetotally umbilical

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
• On the total curvature of immersed manifolds. II
• Complete minimal surfaces in \(S^ 3\)
• A Global Pinching Theorem for Compact Minimal Surfaces in S 3
• Hypersurfaces with Constant Mean Curvature in Spheres
• A Global Pinching Theorem of Minimal Hypersurfaces in the Sphere
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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