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A differentiable sphere theorem inspired by rigidity of minimal submanifolds

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Publication:418451
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DOI10.2140/pjm.2011.254.499zbMath1244.53044OpenAlexW1991041873MaRDI QIDQ418451

Ling Tian, Hong-Wei Xu

Publication date: 29 May 2012

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

Full work available at URL: http://msp.berkeley.edu/pjm/2011/254-2/p13.xhtml


zbMATH Keywords

Ricci curvaturesubmanifoldsRicci flowdifferentiable sphere theorem


Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)


Related Items (7)

Some differentiable sphere theorems ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ Generalized Ejiri's rigidity theorem for submanifolds in pinched manifolds ⋮ Differentiable rigidity of hypersurface in space forms ⋮ Pinching problems of minimal submanifolds in a product space ⋮ Rigidity of closed submanifolds in a locally symmetric Riemannian manifold ⋮ Stable currents and homology groups in a compact CR-warped product submanifold with negative constant sectional curvature




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