A generalization of Gauchman's rigidity theorem

DOI10.2140/PJM.2006.228.185zbMath1126.53038OpenAlexW1980395438MaRDI QIDQ996156

Fei Xiang, Wang Fang, Hong-Wei Xu

Publication date: 12 September 2007

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2006.228.185

zbMATH Keywords

parallel mean curvatureclosed submanifolds

Mathematics Subject Classification ID

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

Related Items (8)

Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung ⋮ Scalar curvature of minimal hypersurfaces in a sphere ⋮ On rigidity of Clifford torus in a unit sphere ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ On complete submanifolds with parallel mean curvature in negative pinched manifolds ⋮ The pinching constant of minimal hypersurfaces in the unit spheres ⋮ Differentiable pinching theorems for submanifolds via Ricci flow ⋮ SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES

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