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Rigidity of stable minimal hypersurfaces

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Publication:1365822
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DOI10.1007/s002080050105zbMath0957.53031OpenAlexW2054511687MaRDI QIDQ1365822

Ying Shen, Shun-Hui Zhu

Publication date: 9 September 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050105


zbMATH Keywords

stabilityscalar curvatureminimal hypersurfacesectional curvaturetotally geodesic


Mathematics Subject Classification ID

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


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Stable constant mean curvature hypersurfaces ⋮ Stably embedded minimal hypersurfaces ⋮ Free boundary hypersurfaces with non-positive Yamabe invariant in mean convex manifolds ⋮ Rigidity results of weighted area-minimizing hypersurfaces ⋮ Free boundary stable hypersurfaces in manifolds with density and rigidity results ⋮ Splitting of 3-manifolds and rigidity of area-minimising surfaces ⋮ Rigidity of area-minimizing free boundary surfaces in mean convex three-manifolds ⋮ On area comparison and rigidity involving the scalar curvature



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