Complete submanifolds with parallel mean curvature in a sphere

DOI10.3792/PJAA.73.158zbMath0903.53040OpenAlexW2070259663MaRDI QIDQ1387927

Xi-Min Liu

Publication date: 21 December 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.158

zbMATH Keywords

gap theoremsparallel mean curvature submanifolds of a sphere

Mathematics Subject Classification ID

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

Cites Work

• Submanifolds with parallel mean curvature vector in spheres
• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• Harmonic functions on complete riemannian manifolds
• Hypersurfaces with Constant Mean Curvature in Spheres

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