A rigidity theorem for hypersurfaces of the odd-dimensional unit sphere $\mathbb S^{2n+1}(1)$

DOI10.4064/cm8966-7-2023OpenAlexW4387466767MaRDI QIDQ6187574

Ze-Jun Hu, Unnamed Author, Cheng Xing

Publication date: 31 January 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8966-7-2023

zbMATH Keywords

Sasakian structureYano's formulaReeb function

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Rigidity results (53C24)

Cites Work

• Unnamed Item
• CR submanifolds of Kaehlerian and Sasakian manifolds
• Hypersurfaces of a Sasakian manifold -- revisited
• On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor
• Hypersurfaces of a Sasakian space form with recurrent shape operator
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Sasakian manifolds with constant \(\phi\)-holomorphic sectional curvature
• Hypersurfaces of odd-dimensional spheres
• On harmonic and Killing vector fields
• Sectional curvatures of minimal hypersurfaces immersed in $S^{2n+1}$
• A new centroaffine characterization of the ellipsoids
• New characterizations of real hypersurfaces with isometric Reeb flow in the complex quadric
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Riemannian geometry of contact and symplectic manifolds

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