An extrinsic rigidity theorem for submanifolds with parallel mean curvature in a sphere

DOI10.2996/KMJ/1301576764zbMath1220.53068OpenAlexW2019497653MaRDI QIDQ534548

Fei Huang, Fei Xiang, Hong-Wei Xu

Publication date: 18 May 2011

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

Full work available at URL: https://doi.org/10.2996/kmj/1301576764

zbMATH Keywords

second fundamental formparallel mean curvature vector fieldsubmanifold in a sphere

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)

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Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ Differentiable pinching theorems for submanifolds via Ricci flow

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