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A remark on minimal hypercones

Let M be a minimal hypersurface in the sphere. It is shown that if the cone over M is a stable critical point for the area functional, then M admits a conformally equivalent metric with positive scalar curvature. This gives both topological and geometric restrictions on such hypersurfaces M.

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Bibliografiske detaljer
Hovedforfatter: Schoen, Richard
Format: Artigo
Sprog:Inglês
Udgivet: 1982
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC346704/
https://ncbi.nlm.nih.gov/pubmed/16593217
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