A Rigidity Theorem for Hypersurfaces in Higher Dimensional Space Forms

zbMath1335.53070arXiv1306.1581MaRDI QIDQ2786815

Xi Sisi Shen, Pengfei Guan

Publication date: 23 February 2016

Full work available at URL: https://arxiv.org/abs/1306.1581

zbMATH Keywords

integral formulaconformal Killing fieldCohn-Vossen theorempolar potential

Mathematics Subject Classification ID

Global submanifolds (53C40) Rigidity results (53C24) Surfaces in Euclidean and related spaces (53A05)

Related Items (6)

Total diameter and area of closed submanifolds ⋮ Reilly-type inequalities for Paneitz and Steklov eigenvalues ⋮ Starshaped sets ⋮ Uniqueness of isometric immersions with the same mean curvature ⋮ The rigidity of hypersurfaces in Euclidean space ⋮ First eigenvalue pinching for euclidean hypersurfaces via \(k\)-th mean curvatures

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